Question

Write an explicit formula for
An
, the nth
term of the sequence 36, 46, 56, ....

Answer 1

`a_(n)` = 10n + 26

Explanation:

`a_(n) = a_(1) + (n - 1)d`

In your problem d = 46 - 36 = 10 and
`a_(1) = 36`

So,
`a_(n)` = 36 + (n - 1)10

= 36 + 10n - 10

= 10n + 26