Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 460, 451,442,... 460,451,442

Answer 1

146

Explanation:

Given

460,451,442

Required

Find the 37th term:

The given sequence is arithmetic where

`a = 460` -- first term

`d = 451- 460 = -9\\` --- common distance

The nth term is:

`T_n = a + (n-1)d`

So:

`T_(37) = 460 + (37-1)*-9`

`T_(37) = 460 + 36*-9`

`T_(37) = 136`