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Woodan Woodan
  • 12-04-2015
  • Mathematics
Answered

Find the sequence..

1,2,2,4,8

Verified Answer :

Hippalectryon
Hippalectryon Hippalectryon
  • 12-04-2015

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 \(1,2,2,4,8,32,256, 8192, 2097152, 17179869184,\dots\)

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