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GATE | GATE CS 1996 | Question 57

  • Last Updated : 06 Nov, 2017

The Fibonacci sequence {f1, f2, f3,….., fn} is defined by the following recurrence:

fn+2 = fn+1 + fn, n ≥ 1; f= 1 : f= 1

Prove by induction that every third element of the sequence is even.



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