Write a formula for the nth term of the following geometric sequence. 4, 16, 64, 256, . Find a formula for the nth term of the geometric sequence. n- 1 an =

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for a, to…

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Q: Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

A: Topic = Geometric Series As per guidelines , At a time only one question can be answered out of…

Q: Write a rule for the n th term of the geometric sequence for which a, = 28 and a, = 1792. %3D

A: Given: a2=28a5=1792

Q: Find the first four terms of the sequence given by the following. an = 38 - 7 (n-1), n= 1, 2, 3

A: Given  an= 38-7(n-1)

Q: Determine whether each sequence is finite or infinite. For the finite, give the last term. For the…

A: Given series is 3,-1,-4,-6,-7The given series is finite , that means there exists a lastterm.In…

Q: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

A: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

Q: Find the 7th term of the geometric sequence 1,6,36,... Answer:

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Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: Find a 8 of a geometric sequence if the first few terms of the sequence are given by -1,3,-9,27,...…

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.16, 13, 10, 7,…

A: Given: 16, 13, 10, 7,...

Q: Find the sum cf the first 50 terms of the arithmetic sequence below. - 13, -6, 1, 8, The sum is

A: We have to find the sum

Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: Find the formula of the general term an of the sequence: 10,50,250,1250 ..

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.300, -30, 3,…

A: Given geometric sequence is 300, -30, 3, -0.3, ...

Q: Write the first n term of the geometric sequence A1=16x^2, r=-1/2, n=5

A: First n terms of geometric sequenceA1=16x2r=common ratio=-12n=5

Q: write a general formula for the nth term of the sequence. an =- 4"-1 (n+1)² an 2 n- 1 an

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Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: 10. Find the sum of the geometric sequence -4374, -1458, -486, ..-6. .....

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Q: Write a formula for the nth term of the following geometric sequence. 5, 15, 45, 135, Find a formula…

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Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 3, 12, 48, 192,…

A: For a G p  , a,ar ,ar2, . . . arn-1  General term is arn-1                    [a=first term  , r =…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . .Then use the formula for…

A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Find the sum of the first 14 terms for the following arithmetic sequence. a, = 4, a = 10 The sum of…

A: a2=4a4=10

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.5, 25, 125, 625....

A: First calculate the common ratio of the series by dividing the next term by the previous term :…

Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

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Q: Write an expression that gives the requested sum. The sum of the first 38 terms of the geometric…

A: We know that a geometric sequence is a sequence with the ratio of consecutive terms constant. This…

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 a 3, r = - Question Help: D…

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Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: B. Write a formula for the general term of each infinite sequence. 1. 3, 5, 7, 9, ... 2. 1, 4, 9,…

A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost…

Q: A geometric sequence has 7 terms, if the first term is 4 and the last term is 256, then the middle…

A: In this question we are given with that the series is it geometric sequence and we are given with…

Q: Find the 5h term of the geometric sequence: – 2, – 6, – 18, ... a5 Preview

A: Solving

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: . Find the nth term of the geometric sequence in which: 7. a, = 800, r = 1, n = 7 a, = 60, r = 1/2,…

A: Using nth term formula of geometric sequence.

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.2, 6, 10, 14,.....

A: Given: The arithmetic sequence 2, 6, 10, 14, ..., To find: nth, 5th, 10th term of the sequence.…

Q: Find the sum of the first 15 terms of the geometric sequence shown below. 2, 6, 18, 54. . The sum of…

A: Given geometric sequence is: 2, 6, 18, 54, ...

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: Find the sum of the following infinite geometric sequences: 84 -50, -25,-12.5.. Answer: S 00

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Q: Find the 80th term of the following arithmetic sequence 18,22,26,30

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Q: You have the following geometric sequence. Find the formula for the 3,-6,18,-54,...... a)3+(n-1)3…

A: Topic:- sequence and series

Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.