Question

Find an explicit formula that generates a sequence whose first four terms are: 24, 36, 54, 81

Answer 1

Answer:

see explanation

Step-by-step explanation:

These are the first 4 terms of a geometric sequence with n th term

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

r = 36 ÷ 24 = 54 ÷ 36 = 81 ÷ 54 = 1.5 and a₁ = 24, hence

$a_{n}$ = 24 $(1.5)^{n-1}$ ← explicit formula

Answer 2

7 is the right answer to the question