Identify the Pattern and find the next number in the pattern

Question

3, 3(root of 2), 6, 6(root of two), 12, ?

I’m stuck between
A) multiply each term by (root of two)
B) Add (root of two) to each term.

What do you think?

Answer 1

The first term is doubled, 3, 6, 12, then every other term is multiplied by the "(root of 2).

Next terms would be 12(root of 2), 24, 24(root of 2).

Answer 2

Your sequence is

3, 3√2, 6, 6√2, 12

note
3*√2 = 3√2
3√2*√2 = 6
6*√2 = 6√2
6√2*√2 = 12

So you have a geometric sequence with
a = 3
r = √2 , which would be choice A

Answer 3

poggers