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Chapter 12: Q 5. (page 824)

True or False: In a geometric sequence the common ratio is always a positive number.

Short Answer

Expert verified

The statement : In a geometric sequence the common ratio is always a positive number is false.

Step by step solution

01

Step 1. Given information.

We have given statement: In a geometric sequence the common ratio is always a positive number.

  • A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
02

Step 2. True or false.

The statement : In a geometric sequence the common ratio is always a positive number is false.

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Most popular questions from this chapter

In Problems 61鈥�70, express each sum using summation notation.

3+322+333+.....+3nn

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=-1;a2=1;an=an-2+nan-1

In Problems 51鈥�60, write out each sum.

鈭�k=1n2k+1

In Problems 71-82, find the sum of each sequence.

鈭�k3k=520

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=2;an=3+an-1
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