What is the 50th term of the sequence that begins -4,2,8,14

My answer is
296

1 answer

In arithmetic progression;

an = a1 + ( n - 1 ) ∙ d

In this case:

Initial term of arithmetic progression:

a1 = - 4

Common difference:

d = 6

So:

a50 = a1 + ( n - 1 ) ∙ d = - 4 + ( 50 - 1 ) ∙ 6 = - 4 + 49 ∙ 6 = - 4 + 294 = 290