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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 sum using summation notation:12+14+18+116+132.

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

a1=-13andd=6

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In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=27andr=13

Write each sum using summation notation: −2 + 4 − 6 + 8 − 10.
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