Question

Find the sum of the first 90 terms of the sequence -4,-1,2,5,8

Answer 1

Answer:D

Explanation:

Answer 2

1655

Explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

`S_(n)` =
`(n)/(2)` [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

`S_(90)` =
`(90)/(2)` [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655