Question

Write an equation for the nth term of the arithmetic sequence 44, 62,80,98

Answer 1

`a_(n)` = 18n + 26

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 44 and d = 62 - 44 = 18 , thus

`a_(n)` = 44 + 18(n - 1) = 44 + 18n - 18 = 18n + 26