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91Ó°ÊÓ

In the following exercises, find each sum.

∑i=1457i−5

Short Answer

Expert verified

The obtained sum is 7020.

Step by step solution

01

Step 1. Given Information.

Consider the given sum:∑i=1457i−5

02

simplify the sum.

Express the sum and identify the values.

∑i=1457i−5=71−5+72−5+72−5+⋯+745−5=2+9+16+⋯+310=a1+a2+a3+⋯+an

03

Step 3. Find the sum.

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

S45=4522+310=452312=45156=7020

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