G (n) = -50-15n (n) = -50-15n, Complete the recursive formula of g (n)

g (1) = - 65; g (n) = g (n-1) - 15

Step-by-step explanation:

Using n = 1, 2, 3, we can find the first three terms of the sequence:

g (1) = - 50 - 15 = - 65

g (2) = - 50 - 15 (2) = - 80

g (3) = - 50 - 15 (3) = - 95

The first term of the arithmetic sequence is - 65, so that is g (1). Each next term is 15 less than the one before, so the recursive formula is ...

g (n) = g (n-1) - 15

The complete recursive function definition requires both parts:

g (1) = - 65

g (n) = g (n-1) - 15