If f (1) = 7 and f (n) = 5f (n - 1) then find the value of f (5).

f (5) = 4375

Step-by-step explanation:

Given f (n) = 5f (n - 1) and f (1) = 7

This allows us to find the next term in the sequence from the previous term

f (2) = 5f (1) = 5 * 7 = 35

f (3) = 5f (2) = 5 * 35 = 175

f (4) = 5f (3) = 5 * 175 = 875

f (5) = 5f (4) = 5 * 875 = 4375

f (5) = 4375

Step-by-step explanation:

f (2) = 5f (1) = 5 * 7 = 35

f (3) = 5f (2) = 5 * 35 = 175

f (4) = 5f (3) = 5 * 175 = 875

f (5) = 5f (4) = 5 * 875 = 4375