Question

The first 5 terms of a certain sequence are 6. 12, 24, 48, and 96.

Which two statements about this sequence are true?
This is a geometric sequence.
This is an arithmetic sequence.
The function f(n)2(6)"
The function f(7) = 6(2)"
The function f(n) = 6 -6(n
represetits this sequence, where is a positive whole
represents this sequence, where is a positive whole r
1) represents this sequence, where n is a positive wh

Answer 1

see explanation

Explanation:

there is a common ratio between consecutive terms, that is

12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 96 ÷ 48 = 2

this indicates the sequence is geometric

the nth term of a geometric sequence is

f(n) = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

here a₁ = 6 and r = 2 , then

f(n) = 6
`(2)^(n-1)`