Question

Priyanka and Ethan were asked to find an explicit formula for the sequence -3,-14,-25,-36,...

Answer 1

`a_(n)` = 8 - 11n

Explanation:

These are the terms of an arithmetic sequence with n th term

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

where a is the first term and d the common difference

here a = - 3 and

d = - 14 - (- 3) = - 14 + 3 = -11, thus

`a_(n)` = - 3 - 11(n - 1)

= - 3 - 11n + 11

= 8 - 11n