Question

Find the common ratio and the explicit formula -3, 9, -27, 81,​

Answer 1

Answer:

see explanation

Step-by-step explanation:

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

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

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3$(-3)^{n-1}$ ← explicit formula