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Chapter 12: Q 12.40. (page 1183)

Find the sum:鈭�i=1355i鈭�3

Short Answer

Expert verified

The obtained sum is 3045.

Step by step solution

01

Step 1. Given information.

The given sum expression is鈭�i=1355i鈭�3.

02

simplify the sum. 

Express the sum and identify the values.

鈭�i=1355i鈭�3=51鈭�3+52鈭�3+53鈭�3+鈰�+535鈭�3=2+7+13+鈰�+172=a1+a2+a3+鈰�+a35

Thus, the obtained values are a1=2and a35=172.

03

Step 3. Find the sum.

Substitute the values in the some formula Sn=n2a1+an.

S35=3522+172=352174=3587=3045

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