Question

, list the first five terms of each sequence.
f(n) = f(nn − 1) + n and f(1) = 4 for n ≥ 2

Answer 1

The first 5 terms of the sequence are 4, 6, 9, 13 , 18

Explanation:

Given that f(n) = f(n − 1) + n and f(1) = 4 for n ≥ 2

f(1) = 4

f(2) = f(2 − 1) + 2 = f(1) + 2 = 4 + 2 = 6

f(3) = f(3 − 1) + 3 = f(2) + 3 = 6 + 3 = 9

f(4) = f(4 − 1) + 4= f(3) + 4 = 9 + 4 = 13

f(5) = f(5 − 1) + 5 = f(4) + 5 = 13 + 5 = 18

The first 5 terms of the sequence are 4, 6, 9, 13 , 18