Given the formula for an arithmetic sequence f (8) = f (7) + 5 written using a recursive formula, write the sequence using an arithmetic explicit formula.

Answer choices

f (8) = f (1) + 5

f (8) = f (1) + 7

f (8) = f (1) + 35

f (8) = f (1) + 40

f (8) = f (1) + 35

Step-by-step explanation:

f (8) = f (7) + 5

We are adding 5 each time

f (7) = f (6) + 5

f (6) = f (5) + 5

f (5) = f (4) + 5

f (4) = f (3) + 5

f (3) = f (2) + 5

f (2) = f (1) + 5

f (8) = f (7) + 5

Replacing

f (8) = f (6) + 5 + 5

f (8) = f (5) + 5+5 + 5

f (8) = f (4) + 5+5+5 + 5

f (8) = f (3) + 5+5+5 + 5+5

f (8) = f (2) + 5+5+5+5 + 5+

f (8) = f (1) + 5+5+5+5+5 + 5+5

f (8) = f (1) + 35