Question

The first five terms of a sequence are shown below. 6, 9, 12, 15, 18 if the nth term of this sequence is represented by f(n), which of the following functions best represents this sequence? (1 point) f(n) = 6n - 3; n ≥ 1 f(n) = 6n 3; n ≥ 1 f(n) = 3n 3; n ≥ 1 f(n) = 3n - 3; n ≥ 1 8. a sequence has its first term equal to 8, and each term of the sequence is obtained by adding 6 to the previous term. if f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point) f(1) = 6 and f(n) = f(n - 1) 8; n > 1 f(1) = 8 and f(n) = f(n - 1) 6; n > 1 f(1) = 8 and f(n) = f(n - 1) 6n; n > 1 f(1) = 6 and f(n) = f(n - 1) 8n; n > 1

Answer 1

a = 6, d = 3
f(n) = a + (n - 1)d = 6 + (n - 1)3 = 6 + 3n - 3 = 3 + 3n
f(n) = 3n + 3; n ≥ 1

a = 8, d = 6
f(1) = 8 and f(n) = f(n - 1) + 6