What is the sum of the series?

Mathematics

1 answer:

Lera25 [3.4K]4 years ago

5 0

The sum of series is: -16

Step-by-step explanation:

First of all we have to breakdown the summation notation into terms

As the value of k is from 3 to 6

We will put k=3,4,5,6

So,

Putting k = 3

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

Putting k =4

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

Putting k = 5

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

Putting k = 6

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

The sum will be:

= $= (-1) + (-3) + (-5) + (-7)\\= -1-3-5-7\\= -16$

Hence,

The sum of series is: -16

Keywords: sum, variables

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