Question

Write the arithmetic sequence - 7, -4, - 1, 2, ... in the standard form: an = Question Help: Video

Answer 1

`a_(n)` = 3n - 10

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 = - 7 and d = a₂ - a₁ = - 4 - (- 7) = - 4 + 7 = 3 , then

`a_(n)` = - 7 + 3(n - 1) = - 7 + 3n - 3 = 3n - 10