Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an explicit formula for this sequence. a, = Part B To the nearest whole number, what is the sum of the first 25 terms?

Q: Write the first six terms of the arithmetic sequence with the given first term, a,, and common…

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Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 59th term of the arithmetic sequence 20, 16, 12, 8 . .…

A: Our aim is to find the 59th term of the arithmetic sequence given below:-20,16,12,8.....        -(i)

Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: Which term of the arithmetic sequence 1, 9, 17, 25, ... is 345? It is the th term.

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Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

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Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: What is the 7th term of the geometric sequence where a₁ = -4,096 and a = 64?

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Q: Find the next 3 terms of the arithmetic sequence 1, 3,5, 7, ......

A: To find next three terms of arithmetic sequence: 1,3,5,7... Solution: given sequence is: 1,3,5,7...…

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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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.