Question

what is the explicit formula for this sequence? -7,-3,1,5

Answer 1

Answer:

$a_{n}$ = 4n - 11

Step-by-step explanation:

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

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = - 3 - (- 7) = 1 - (- 3) = 5 - 1 = 4

and a₁ = - 7, hence

$a_{n}$ = - 7 + 4(n - 1) = - 7 + 4n - 4 = 4n - 11