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Chapter 12: 38 (page 816)

Find each sum.

2+4+6+鈥�.+2n

Short Answer

Expert verified

The required answer 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

Therefore the sum isSn=n+n2

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