6. The first term of an arithmetic sequence is 10, and the tenth term is 2. (a) Find the common difference and the 100th term of the sequence. (b) Find the partial sum of the first ten terms.

Q: 4. Find the 52nd term of the arithmetic sequence: 3, 7, 11, 15, ...

A: To find The 52nd term in arithmetic sequence 3,7,11,15,....

Q: 4 Find the infinite sum of the geometric sequence with a = 6, r = - if it exists. %3|

A:

Q: A town has a population of 5000 persons,  but is expected to grow by 2% every   What would be the…

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: 3.2. You have two parents, four grandparents, eight great-grandparents, and so forth. 3.2.1. If all…

A: 3.2 Given that you have 2 parents, 4 grandparent, 8 great-grand parent and so forth.

Q: _21. What are the first five terms of an arithmetic sequence whose 1t term is 2.6 and a common…

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Q: Find the 65th term of the arithmetic sequence with first term 3 and common difference -1/2 (negative…

A:

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 finite geometric sequence. E(-3)" - (-3)" – 1 n-1

A:

Q: 14. The sum of the first 50 terms of the sequence 2, 8, 14, 20, 26, ...

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Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

A:

Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year.    (i) What…

A:

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

A:

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: Determine the nth term of the arithmetic sequence whose nth partial sum is n2 + 2n. [Hint: The nth…

A:

Q: 4. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?…

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Q: 6.1 Find the hundredth term of the arithmetic sequence with the first term 2 And ninth term 18

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Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

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: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,.........

A:

Q: What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: 7 The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. What is the 1st term…

A: Given: In an arithmetic operation: The 8th term is 20 i.e., a+(8-1)d=20 a+7d=20     -(1) And, the…

Q: 15. Find the 5th term of the geometric sequence whose common ration is and whose first term is 7.

A: Given first term is 7 and common ration is 1/2 Here a=7,r=1/2

Q: 1) Find the 8th term of the geometric sequence 100, 20, 4, ...

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

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: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…

A: i) Given: A town has a population of 5000 persons, but is expected to grow by 2% every year. Find…

Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

A:

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: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: Example 6: Find the sum of the first 30 terms of the arithmetic sequence 3,7,11, 15, ..

A: Given- Consider the arithmetic sequence 3,7,11,15......  To Find- The sum of the first 30 terms.…

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A:

Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: The 9th term of an arithmetic sequence is 19 and the 20th term is 20.3 What are the first three…

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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: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

A:

Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1)…

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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: What is the fourth partial sun for the geometric sequence a1=18 and r=2

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Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: The sum of the first 33 terms of the geometric sequence 1, 2, 4

A: