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Chapter 7: Q. 45 (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=-2,r=-3.

Short Answer

Expert verified

The first five terms are-2,6,-18,-54,-162.

Step by step solution

01

Step 1. Given information.

The given values arec=-2,r=-3.

02

Step 2. First term.

The general sequence is ak=crk

Substituting the given values,

ak=(-2)(-3)k

For first term, k=0,

Therefore,

a0=(-2)(-3)0=-2

03

Step 3. Remaining terms.

Now, when,

k=1,a1=(-2)(-3)1=6k=2,a2=(-2)(-3)2=-18k=3a3=(-2)(-3)3=-54k=4a4=(-2)(-3)4=162

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