Question

Find the explicit formula for the given sequence. 4, 24, 144,864, ....

Answer 1

Answer:

x * 6

Step-by-step explanation:

4 * 6 = 24

24 * 6 = 144

144 * 6 = 864

Answer 2

Answer:

$a_{n}$ = 4$(6)^{n-1}$

Step-by-step explanation:

Note the terms in the sequence have a common ratio, that is

r = 24÷ 4 = 144÷ 24 = 864 ÷ 144 = 6

This indicates the sequence is geometric with n th term

$a_{n}$ = a$(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 4 and r = 6, thus

$a_{n}$ = 4$(6)^{n-1}$ ← explicit formula