Question

Find the sum

A)

0

B)

6

C)

–3

D)

2

Answer 1

To find:-

• The sum of
  `\displaystyle \sum_(k=1)^5 (3-k)`

Answer:-

We need to evaluate,

`\implies \displaystyle\sum_(k=1)^5(3-k) \\`

Substitute k = 1 , 2 , 3 , 4 and 5 in the expression 3-k and then add them .

`\implies (3-1)+(3-2)+(3-3)+(3-4)+(3-5)\\`

`\implies 2 + 1 + 0 -1 -2 \\`

`\implies 0\\`

Hence option A is the correct choice.

and we are done!