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Chapter 12: Q 146. (page 1198)

In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given.

Finda13givena1=7andr=2.

Short Answer

Expert verified

The value ofa13is28,672.

Step by step solution

01

Step 1. Write the given information and use the formula of general term

The given information is:

a1=7andr=2

The general term of a geometric sequence with the first term a1and the common ratio ris:

an=a1rn-1

02

Step 2. Substitute the given values into the formula

a1=7,r=2and n=13
localid="1645273060798" a13=(7)(2)13-1=(7)(2)12=(7)(4096)=28,672

a13=28,672

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