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Chapter 12: Q 6. (page 824)

True or False: For a geometric sequence with first terma1 and common ratiorwherer鈮�0,r鈮�1the sum of the firstnterms isrole="math" localid="1646843821067" sn=a11-rn1-r.

Short Answer

Expert verified

For a geometric sequence with first term a1and common ratio rwhere r鈮�0,r鈮�1the sum of the first nterms isrole="math" localid="1646844482598" sn=a11-rn1-ris true.

Step by step solution

01

Step 1. Given information.

True or False For a geometric sequence with first term a1and common ratio rwhere, r鈮�0r,鈮�1the sum of the first nterms is sn=a11-rn1-r

  • 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 given statement is true.

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Most popular questions from this chapter

How much do you need to invest now at 5%per annum compounded monthly so that in 1 year you will have $10000?

In Problems 17鈥�28, write down the first five terms of each sequence.

bn=2n+12n

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

23-49+827-........+-1122311

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

a1=3;an=4-an-1

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

鈭�k=0n-12k+1
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