what is the pattern for 8,32,128,512

Question

 What is the term

Answer 1

    8 = 2³

  32 = 2⁵

128 = 2⁷

512 = 2⁹

 

So in general, the pattern is 2^2n+1.

Now in a sequence {a_n}, if a₁ = 8, a₂=32, etc.. then a_n=2^2n+1.

 

 

 

Answer 2

1. 8
2. 8 x 4 = 32
3. 32 x 4 = 128
4. 128 x 4 = 512
5. 512 x 4 =
6. ...

 

a_n = a_n-1·4

a_n = 8·4^n-1