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Shtirlitz [24]
3 years ago
13

What is the sum of the series? Write in expanded form making sure to show all steps used to find the sum.

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Given:

$\sum_{k=3}^{6}(-2 k+5)

To find:

The sum of the series.

Solution:

$\sum_{k=3}^{6}(-2 k+5)

Substitute k = 3.

-2 (3)+5=-6+5=-1

Substitute k = 4.

-2 (4)+5=-8+5=-3

Substitute k = 5.

-2 (5)+5=-10+5=-5

Substitute k = 6.

-2 (6)+5=-12+5=-7

$\sum_{k=3}^{6}(-2 k+5)=(-1)+(-3)+(-5)+(-7)

Apply minus plus rule: +(-a)=-a

                    =-1-3-5-7

                    =-16

$\sum_{k=3}^{6}-2 k+5=-16

Therefore the sum of the series is -16.

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