Question

Find a formula for the nth term of the arithmetic sequence.

First term 11, common difference 5
Hint: common difference is the coefficient
Hint: the first term = a1 (?)

Answer 1

`a_(n)` = 5n + 6

Explanation:

the nth term of an arithmetic sequence is

`a_(n)` = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 11 and d = 5 , then

`a_(n)` = 11 + 5(n - 1) = 11 + 5n - 5 = 5n + 6