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Chapter 7: Q. 46 (page 592)

In Exercises 43鈥�46 give the first five terms for a geometric sequence crkk=0鈭�with the specified values of candr.

c=-1,r=-12

Short Answer

Expert verified

The first five terms are-1,12,-14,18,-116.

Step by step solution

01

Step 1. Given information.

The given data isc=-1,r=-12.

02

Step 2. First term.

The general sequence is ak=crk.

Substituting the given values,

ak=(-2)-12k

For the first term k=0,

Therefore,

a0=(-1)-120=-1

03

Step 3. Remaining terms.

Substituting,

k=1,a1=(-1)-121=12k=2a2=(-1)-122=-14k=3,a3=(-1)-123=18k=4a4=(-1)-124=-116

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