Question

Find the sequence..
1,2,2,4,8

Answer 1

Let the n-th term be called
`a_n`

We see that if we choose
`a_0=1,a_1=2` then the other numbers follow the pattern
`a_(n+2)=a_(n+1)\cdot a_n` (see :
`4=2*2,8=4*2`)

Hence the sequence will be
`1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots`