Question

What is the nth term of 60,100,140 simplified

Answer 1

`a_(n)` = 40n + 20

Explanation:

there is a common difference between the first 3 terms in the sequence, that is

100 - 60 = 140 - 100 = 40

This indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + d(n - 1)

a₁ is the first term , d the common difference, n the term number

here a₁ = 60 and d = 40 , then

`a_(n)` = 60 + 40(n - 1) = 60 + 40n - 40 = 40n + 20