Question

Find the 74th term in the sequence: 83,79,75 show work

Answer 1

a₇₄ = - 209

Explanation:

There is a common difference between consecutive terms , that is

79 - 83 = 75 - 79 = - 4

This indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 83 and d = - 4 , then

a₇₄ = 83 + (73 × - 4) = 83 + (- 292) = 83 - 292 = - 209