The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So for the geometric sequence a, = 2(5)*- the first term is „and the common ratio is

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: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, 5, 5,…

A: G. P. Series problem.....

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

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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 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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

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Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = - 5, r = |

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Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: PROVE: Reciprocals of a Geometric Sequence If a,, az, az, ... is a geometric sequence with common…

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Q: a,=(- 1)" is a divergent sequence

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Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

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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: Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an…

A: In the geometric sequence, the ratio of the consecutive terms is the same (equal) which know as a…

Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: 2 if it exists. 6 Find the infinite sum of the geometric sequence with a = 3, r = Preview

A: Given  a = 3  r = 2/6

Q: Write down the first five term of the geometric sequence with has first term of 1 and common…

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Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

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Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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Q: True or False For a geometric sequence with first term aj and common ratio r, where r + 0, r + 1,…

A: Let geometric sequence is a1,a1r,a1r2,a1r3...........a1rn-1 where a1 is the common difference and r=…

Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: The strain of bacteria will double in size and then divide every 20 min. Let a, be the initial…

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: The formula to find the nth term of geometric sequence is an=a1·rn-1. where, an is the nth term, a1…

Q: 1. Give the first five terms of the sequence with the given general term. a. a, = 3n+4 %3D b. а,…

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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: Given that the first term of an geometric sequence is 2 and the common ratio is 3 what is the…

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Q: A sequence in which each term after the first differs from the preceding term by a constant amount…

A: A sequence in which each term after the first differs from the preceding term by a constant amount…

Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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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: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

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

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Q: Supposed vn =17-n2  is the explicit specification for a sequence. How many values of n (positive)…

A: Given: Vn=17-n2

Q: 2" An 2n+1

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Q: 1. Find the 30th term of the 1 1 harmonic sequence ;, ,0, –? - 4'2'

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Find the nth term of the geometric sequence whose initial term is aj = 4.5 and common ratio is 4. an…

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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: What is the 11th term of the arithmetic sequence 1+2i, 3+3i, 5+4i...

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

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Q: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

Q: how do we show that the term of the sequence U(n+1)=aUn+b is the one in the picture

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Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

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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: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…

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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: Suppose we have the sequence 1, 4, 7, 10, ... Find an explicit formula for the nth term of the…

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Q: Find the first 10 terms of the sequence a, = 3n + 3. its 9th term is its 10th term is

A: Given : an = 3n + 3

Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: Find an explicit formula for the general term  an  of the sequence. 1, −  1 3 ,   1 5 , −  1 7 ,…

A: We have to find the formula of general term.

Q: The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

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