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Chapter 12: Q37. (page 816)

Find each sum.

2+4+6+鈥�.+2n.

Short Answer

Expert verified

The solution isSn=n+n2

Step by step solution

01

Given information

2+4+6+鈥�.+2n

02

Calculation

We have, 2+4+6+鈥�.+2n

So, a1=2,d=2,an=2n

Now use formula

Sn=n2(a1+an)=n2(2+2n)=n2脳2+n2脳2n=n+n2

The sum is Sn=n+n2

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Most popular questions from this chapter

For the functionf(x)=x-1x,findf(2)andf(3).

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

鈭�k=0n-12k+1

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

tn=(-1)n(n+1(n+2)

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

an=nn+2

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
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