Help finding a simple formula

[madeline.johnson]

So for my homework, I was told to look at a pattern of numbers, and find an equation. I have inputs, and out puts. The set of numbers were:

2 --> 4
3 --> 8
4 --> 16
5 --> 32

I noticed that the outputs are being multiplied by 2 each time.

2 --> 4
>x2
3 --> 8
>x2
4 --> 16
>x2
5 --> 32

Also, I know that the inputs are consecutive and go up by one.
My teacher said n will be used to represent the nth number. If you could help me, thatd be great! I am horrible at finding formulas, and this is a pretty easy one.:cool:

 

[tkhunny]

Maybe these will help?

1 ==> 2
0 ==> 1

That first one is a REALLY big clue.

 

[Deleted member 4993]

So for my homework, I was told to look at a pattern of numbers, and find an equation. I have inputs, and out puts. The set of numbers were:

2 --> 4...→ 2²
3 --> 8...→ 2³
4 --> 16...→ 2⁴
5 --> 32...→ 2⁵
n --> ......→ 2ⁿ

I noticed that the outputs are being multiplied by 2 each time.

2 --> 4
>x2
3 --> 8
>x2
4 --> 16
>x2
5 --> 32

Also, I know that the inputs are consecutive and go up by one.
My teacher said n will be used to represent the nth number. If you could help me, thatd be great! I am horrible at finding formulas, and this is a pretty easy one.:cool:

.

 

[madeline.johnson]

so it involves n+1?

 

[stapel]

so it involves n+1?

You might want to take a closer look at the previous reply. He basically gave you the answer.

 

[madeline.johnson]

oh I understand! so the formula is 2 to the nth power. thank you!