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Chapter 12: Q. 258 (page 1218)

In the following exercises, write each sum using summation notation.

4-8+12-16+20-24

Short Answer

Expert verified

The summation notation is鈭�n=16-1n+14n.

Step by step solution

01

Step 1. Given information.

The given expression is,

4-8+12-16+20-24.

02

Step 2. Finding the summation notation.

Here, the number is multiple of 4from 1to 6with alternative signs then we get,

4-8+12-16+20-24n:1,2,3,4,5,6Terms:4,-8,12,-16,20,-24Pattern:-11+14.1,-12+14.2,-13+14.3,-14+14.4,-15+14.5,-16+14.6,....-1n+14n

Then the sum can be written in the form of summation notation that is

4-8+12-16+20-24=鈭�n=16-1n+14n.

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