The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is the 8th term of the geometric sequence whose first term is equal to the first term of the arithmetic sequence and whose common ratio is equal to the common difference of the given arithmetic sequence?
Q: If the first term a, and common difference d of an arithmetic sequence are 3 and 4 respectively then…
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Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…
A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3
Q: An arithmetic sequence has a its 5 th term equal to 22 and its 15 th term equal to 62. Find its 100…
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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…
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Q: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…
A: Given an arithmetic sequence100th term of this A.P=a100=200common difference=d=2
Q: Find the sum of the first five terms of the sequence with the given general term. an = (-1)"
A: general term an = (-1)n
Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.
A: Here, a=6, r=2/6
Q: The sum to infinity of a geometric sequence is twice the sum of the first two terms. Find possible…
A: Topic = Geometric progression
Q: If the 100th term of an arithmetic sequence is 893, and its common difference is 9, then its first…
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Q: The third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…
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Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…
A: Consider the given 12th term of an Arithmetic sequence 240 and term 7th of an Arithmetic sequence…
Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…
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Q: m of the first 10 terms in an arithmetic
A: Given, the sum of the first 10 terms in an arithmetic sequence is 530.
Q: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…
A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…
Q: The first term of a geometric sequence is 1536 and the common ratio is 1 /2 . Which term of the…
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Q: Find the sum of the first 70 terms of the arithmetic sequence with the first term 6 and common…
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Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…
A: Sol
Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…
A: a = 10 , a10 = 2 Using an = a + n - 1da a10 = a + n - 1 d 2 = 10 + 9 d2 - 10 = 9d…
Q: Find the first four terms of the arithmetic sequence whose first term is 6 and whose common…
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Q: Find the first four terms of the arithmetic sequence whose first term is 9 and whose common…
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Q: Find the sum of the first 35 terms of the arithmetic sequence −1, −9, −17, −25, ….
A: Given the arithmetic series-1,-9,-17,-25..
Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…
A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.
Q: Determine the sum of the first 6 terms of the geometric sequence. 1,2, 4, .. So
A: A geometric progression is a type of sequenc in which ratio of two consecutive terms is always a…
Q: Find the infinite sum of the geometric sequence with a = 5, r = 4 if it exists. %3D 8
A: Given, a=5 r=4/7 S∞=?
Q: If the 100th term of an arithmetic sequence is 902, and its common difference is 9, then its first…
A: A sequence is a function with domain being the set of natural numbers and the range being the set of…
Q: Find the infinite sum of the geometric sequence with a =2 r=2/6 if it exist
A: The geometric sequence with a =2, common ratio r=2/6
Q: given that the 1st and 9th terms of an arithmetic sequence as -2 and 22 respectively, find the…
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Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and…
A: general term of arithmetic sequence an=a+(n-1)d .........(1)where a=first term and d=common…
Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term
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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36.Calculate the sum of the…
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Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.
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Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…
A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…
Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…
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Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…
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Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…
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Q: Find the infinite sum of the geometric sequence with 3 if it exists. a = 2, r =
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Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…
A: Given,
Q: 1 and whose first term is 8. 2 Find the 9th term of the geometric sequence whose common ratio is
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Q: Find the sum of the first 12 terms of the geometric sequence whose first term is 11 and whose common…
A: Given a geometric series with first term 11 and common ratio 5.
Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…
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Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.
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Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…
A:
Q: The product of the first term and the 6th term of an arithmetic sequence is -38. The sum of the 3rd…
A: Topic - arithmetic progression
Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…
A:
Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?
A: We will plug some values for n to check how the signs change.
Q: Find the first four terms of the arithmetic sequence whose first term is −1 and whose common…
A: Given that first term of arithmetic sequence is -1 and common difference is 9.
Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 90 and first term of…
A: 15th term is 90 and the first term is 6 of an arithmetic sequence. To find the sum of its first 100…
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- Forel Series connection and signals are required, my T=12AUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?
- Use the pigeonhole principle for (a)A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing % of employees in the country have changed jobs in the past four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs…A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…
- A research center claims that more than 29% of employees in a certain country have changed jobs in the past three years. In a random sample of 220 people from that country, 77 have changed jobs in the past three years. At alphaαequals=0.10, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing% of employees in the country have changed jobs in the past three years. B. More than nothing% of employees in the country have changed jobs in the past three years. C. The percentage of employees in the country who have changed jobs in the past three years is not nothing%. D. nothing% of employees in the country have changed jobs in the past three years.…A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…A medical researcher says that less than 77% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 74% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below.
- how to (w^1) get distributed back into (y+q^1)?the local survey has reported that 38% of corona cases in 2019 werevresistant to at leat 1 of gthe 3 major antibioticsd used to treat corona.a doctor treated 10 cases of corona in 2019 find the prob that 1 or more out of the 10 were resistant to all the 3 antibiotics .A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.