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Chapter 12: Q. 278 (page 1219)

In the following exercises, find each sum.

鈭�i=130(鈭�3i鈭�7)

Short Answer

Expert verified

The sum is equal to -1605.

Step by step solution

01

Step 1. Given Information  

We are given,

鈭�i=130(鈭�3i鈭�7)

We have to find the given sum.

02

Step 2. Finding the terms  

The terms is given by putting i=1,2,3....50

鈭�i=130(-3i-7)=(-3路1-7)+(-3路2-7)+(-3路3-7)+鈥�+(-3路30-7)鈭�i=130(-3i-7)=(-3-7)+(-6-7)+(-9-7)+鈥�+(-90-7)鈭�i=130(-3i-7)=-10-13-16+鈥�-97

So, the first term is -10and the fifth term is-97.

03

Step 3. Finding the sum 

Putting the values in formula, we get

Sn=n2(a+an)Sn=302(-10-97)Sn=15(-107)Sn=-1605

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