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Chapter 12: Q. 274 (page 1218)

In the following exercises, find the sum of the first 30terms of each arithmetic sequence.

1,6,11,16,21,...

Short Answer

Expert verified

The sum is equal to 2205.

Step by step solution

01

Step 1. Given Information 

We are given a sequence,

1,6,11,16,21,...

The sum of first thirty term is given by,

Sn=n2(a+an)

02

Step 2. Finding the terms

The first term is1,

The common difference is given by,

d=6-1d=5

The thirty term is given by,

a30=a+(30-1)da30=1+(29)5a30=1+145a30=146

03

Step 3. Finding the sum  

Putting the values in formula, we get

Sn=n2(a+an)S30=302(1+146)S30=15(147)S30=2205

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Most popular questions from this chapter

Find the sum of the first 30 terms of the arithmetic sequence: 5, 9, 13, 17, 21, 鈥�.

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