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Chapter 12: Q 150. (page 1198)

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

Finda8givena1=1000,000andr=0.01

Short Answer

Expert verified

The value ofa8is0.00000001.

Step by step solution

01

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

The given information is:

a1=1000,000andr=0.01

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

an=a1rn-1

02

Step 2. Substitute the given values into the formula

a1=1000,000,r=0.01and n=8

localid="1645332394965" a8=(1000,000)(0.01)8-1=(1000,000)(0.01)7=(1000,000)(0.00000000000001)=0.00000001

a8=0.00000001

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