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Chapter 12: Q. 189. (page 1200)

In your own words, explain how to find the general term of a geometric sequence .

Short Answer

Expert verified

The general term of geometric sequence is an=arn-1

where,a=firsttermofthegeometricsequencer=commonration=nthterm

Step by step solution

01

Step 1. Give information.

  • How to find the general terms of a geometric sequence.
  • A geometric sequence is a sequence in which every term is multiplied by a constant number to get its next term.
02

Step 2. Determine the general terms of the geometric sequence

The nthterm of a geometric sequence with initial sequence with initial value nand common ratioris given by:

an=arn-1

where a is the first term of the geometric sequence.

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Most popular questions from this chapter

Write the first five terms of the sequence where the first term is 7 and the common ratio is r=-3.

In the following exercises, expand each binomial.

(x+y)3

Determine if each sequence is geometric. If so indicate the common ratio.

鈸�.7,21,63,189,567,1,701,鈥�

鈸�.64,16,4,1,14,116,鈥�

鈸�.2,4,12,48,240,1,440,鈥�

Find the fifth term of(a+b)8

Write the first five terms of the sequence whose general term isan=2n鈭�5
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