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Chapter 12: Q 147. (page 1198)

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

Finda10givenrole="math" localid="1645328421912" a1=-6andr=-2.

Short Answer

Expert verified

The value ofa10is3,072.

Step by step solution

01

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

The given information is:

a1=-6andr=-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=-6,r=-2and n=10

localid="1645330542045" a10=(-6)(-2)10-1=(-6)(-2)9=(-6)(-512)=3,072

a10=3,072

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