Question

Please help. Find the first 4 terms in a sequence using the recursive definition.

Answer 1

Answer:

22, 50, 106, 218

Step-by-step explanation:

Using the recursive formula with f(0) = 8

Substitute n = 1, 2, 3, 4 into the recursive formula and evaluate

f(1) = 2f(1-1) + 6 = 2f(0) + 6 = (2 × 8) + 6 = 16 + 6 = 22

f(2) = 2f(1) + 6 = (2 ×× 22) + 6 = 44 + 6 = 50

f(3) = 2f(2) + 6 = (2 × 50) + 6 = 100 + 6 = 106

f(4) = 2f(3) + 6 = (2 × 106) + 6 = 212 + 6 = 218