Find the sequence.. 1,2,2,4,8
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 \(1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots\)
