Question

Enter the first 4 terms of the sequence defined by the rule given.

f(1) = 9, f(n) = f(n − 1) – 3
The first 4 terms are:

A) 9, 6, 3, 0
B) 9, 12, 15, 18
C) 9, 12, 9, 6
D) 9, 6, 9, 12

Answer 1

The first 4 terms of the sequence with the rule f(1) = 9 and f(n) = f(n - 1) - 3 are calculated successively, yielding the terms 9, 6, 3, 0.

Step-by-step explanation:

To determine the first 4 terms of the sequence based on the rule f(1) = 9, f(n) = f(n − 1) − 3, we need to use the initial value and apply the rule successively to find the subsequent terms.

• First term, f(1) = 9 (given).
• Second term, f(2) = f(2 − 1) − 3 = f(1) − 3 = 9 − 3 = 6.
• Third term, f(3) = f(3 − 1) − 3 = f(2) − 3 = 6 − 3 = 3.
• Fourth term, f(4) = f(4 − 1) − 3 = f(3) − 3 = 3 − 3 = 0.

Therefore, the first 4 terms of the sequence are 9, 6, 3, 0.