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Chapter 12: Q. 15 (page 838)

In Problems 13鈥�16, find each sum.

鈭�k=140-2k+8

Short Answer

Expert verified

The sum is -1320.

Step by step solution

01

Step 1. Given information.

The summation notation of the sequence is:鈭�k=140(-2k+8)

02

Step 2. Expand the summation and apply property of summation.

By using property of summation we can write:

鈭�k=140-2k+8=鈭�k=140-2k+鈭�k=1408=-2鈭�kk=140+鈭�k=1408
03

Step 3. Apply formula of sum of n natural number.

-2鈭�k=140k+鈭�k=1408=-240(40+1)2+8脳40=-40脳41+8脳40=40(-41+8)=-40脳33=-1320

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