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Chapter 12: Q. 273 (page 1218)

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

7,4,1,鈭�2,鈭�5,...

Short Answer

Expert verified

The sum is equal to -1095.

Step by step solution

01

Step 1. Given Information  

We are given a sequence 7,4,1,鈭�2,鈭�5,...

The sum of first thirty term is given by,

Sn=n2(a+an)

02

Step 2. Finding the terms

The first term is 7,

The common difference is given by,

d=4-7d=-3

The thirty term is given by,

a30=a+(30-1)da30=7+(29)(-3)a30=7-87a30=-80

03

Step 3. Finding the sum 

Putting the values in formula, we get

Sn=n2(a+an)S30=302(7+(-80))S30=15(7-80)S30=15(-73)S30=-1095

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Most popular questions from this chapter

Determine if each sequence is arithmetic. If so, indicate the common difference.

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