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Chapter 12: Q. 28 (page 816)

Find the indicated term in each arithmetic sequence.

70th term of25,45,65,鈥�

Short Answer

Expert verified

The 70th term of the sequence is1405.

Step by step solution

01

Step 1. Given information

Thegivensequenceis25,45,65,鈥�

We have to find the 70th term of the sequence.

02

Step 2. Calculating the common difference.

鈬�a1=25,a2=45,a3=65鈬�a2鈭�a1=45鈭�25=25鈬�a3鈭�a2=65鈭�45=25鈬�commondifference,d=25

03

Step 3. Calculating the required term.

Thenthtermofasequenceisgivenasan=a1+n鈭�1dHere,aisthefirsttermofthesequence.disthecommondifference.Thus,鈬�a70=25+70鈭�125=25+69鈰�25=25+1385=1405

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Most popular questions from this chapter

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

鈭�k=1鈭�332k-1

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

dn=(-1)n-1n2n-1

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

1-34+916-2764+....

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

a1=2;an=3+an-1

In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

8+12+18+27+....
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