Question

What is the sum of this arithmetic series?

Answer 1

52

Explanation:

The ' easiest' method here is to substitute k = 1, 2, 3, 4 into the expression and sum the terms, that is

(- 2 + 6(1) ) + ( - 2 + 6(2) ) + ( - 2 + 6(3) ) + (- 2 + 6(4) )

= (- 2 + 6) + (- 2 + 12) + (- 2 + 18) + (- 2 + 24)

= 4 + 10 + 16 + 22

52

Answer 2

The sum of this arithmetic series is 52.