Question

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

Answer 1

Answer:

$a_{n}$ = 8 - 11n

Step-by-step 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