Question

Consider the arithmetic sequence 1, 4, 7, 10. Write an expression for the n th term (which is t ) of this arithmetic sequence.

Answer 1

`a_(n)` = 3n - 2

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 = 1 and d = a₂ - a₁ = 4 - 1 = 3 , then

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