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Chapter 12: Q 145. (page 1198)

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

Finda11givena1=8andr=3.

Short Answer

Expert verified

The value ofa11is role="math" localid="1645271579494" 472,392.

Step by step solution

01

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

The given information is:

a1=8andr=3

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=8,r=3and n=11

localid="1645272567640" a11=(8)(3)11-1=(8)(3)10=(8)(59049)=472,392

a11=472,392

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