Question

If the first term in a sequence is 5 and the common difference is 3… write the explicit formula

Answer 1

`a_(n)` = 3n + 2

Explanation:

The nth term( explicit formula ) of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 3 , then

`a_(n)` = 5 + 3(n - 1) = 5 + 3n - 3 = 3n + 2