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Chapter 12: 42 (page 816)

Find each sum

1+3+5+...+59

Short Answer

Expert verified

The solution isS30=900

Step by step solution

01

Given information

1+3+5+...+59

02

Calculation

We have, 1+3+5+...+59

So, a1=1,d=2,an=59

Now use formula,

an=a1+(n-1)d⇒59=1+(n-1)2⇒59=1+2n-2⇒2n=60⇒n=30

To find sum S30

S30=302(1+59)=900

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Most popular questions from this chapter

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

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