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Chapter 12: 44 (page 816)

Find each sum

2+5+8+...+41

Short Answer

Expert verified

The solution isS14=301

Step by step solution

01

Given information

2+5+8+...+41

02

Calculation

We have, 2+5+8+...+41

So, a1=2,d=3,an=41

Now use formula,

an=a1+(n-1)d⇒41=2+(n-1)3⇒41=2+3n-3⇒3n=42⇒n=14

To find the sum S14

S14=142(2+41)=301

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