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Chapter 12: Q 120. (page 1186)

In the following exercises, find each sum.

鈭�i=1254i+3

Short Answer

Expert verified

The obtained arithmetic sum is 1375.

Step by step solution

01

Step 1. Given Information.

Consider the given sum:

鈭�i=1254i+3

02

simplify the sum.

Express the sum and identify the values.

鈭�i=1254i+3=41+3+42+3+43+3+鈰�+425+3=7+11+15+鈰�+103=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.

S25=2527+103=252110=2555=1375

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