Question

What are the first 5 terms of the sequence defined by the formula:

a0 = 81
an = an-1 ÷ 3

A) 81, 27, 9, 3, 1
B) 81, 27, 9, 3, -1
C) 81, 24, 8, 2, 0
D) 81, 24, 8, 2, -1

Answer 1

The first 5 terms of the sequence are 81, 27, 9, 3, and 1, which are obtained by starting with 81 and repeatedly dividing by 3.

Step-by-step explanation:

The first 5 terms of the sequence defined by the formula a0 = 81 and an = an-1 ÷ 3 can be found by repeatedly applying the given formula starting from a0.

First term (a0): 81

• Second term (a1): 81 ÷ 3 = 27
• Third term (a2): 27 ÷ 3 = 9
• Fourth term (a3): 9 ÷ 3 = 3
• Fifth term (a4): 3 ÷ 3 = 1

Thus, the first 5 terms of the sequence are: 81, 27, 9, 3, and 1.