Question

Find the explicit formula for the given sequence.

Answer 1

Answer:

A

Step-by-step explanation:

given the sequence above using using two as a first term the only formula fits the sequence above is A

Answer 2

Answer:

A

Step-by-step explanation:

There is a common ratio r between consecutive terms

r = 8 ÷ 2 = 32 ÷ 8 = 128 ÷ 32 = 4

This indicates the sequence is geometric with nth term ( explicit formula )

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 2 and r = 4 , then

$a_{n}$ = 2 . $4^{n-1}$ → A