Question

Need to find the sum of 50

Answer 1

4600

Explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

The sum to n terms of an arithmetic sequence is

`S_(n)` =
`(n)/(2)`[ 2a + (n - 1)d ]

where a is the first term

here a = - 6, d= 4 and n = 50, hence

`S_(50)` =
`(50)/(2)` [ (2 × - 6) + (49 × 4) ]

= 25 ( - 12 + 196 )

= 25 × 184

= 4600