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Chapter 12: Q 122. (page 1185)

In the following exercises, find each sum.

鈭�i=130-5i+1

Short Answer

Expert verified

The obtained arithmetic sum is -2325.

Step by step solution

01

Step 1. Given Information.

Consider the given sum:

鈭�i=130-5i+1

02

simplify the sum.

Express the sum and find identify values.


鈭�i=130-5i+1=-51+1+-52+1+-53+1+鈰�+-530+1=-4+-9+-14+鈰�+-149=a1+a2+a3+鈰�+an

03

Step 3. Find the sum.

Substitute the values in the sum of the n-terms formula Sn=n2a1+an.

S30=302-4-149=15-155=-2325

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