Question

Find the explicit formula for the given sequence.

Answer 1

A

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

Answer 2

A

Explanation:

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