The Fibonacci sequence is defined by the recurrence relation: Fn = Fn-1 + Fn-2, where F...

  

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The Fibonacci sequence is defined by the recurrence relation: Fn = Fn-1 + Fn-2, where F = 1 and F2 = 1. Hence the first 12 terms will be: F = 1 F = 1 F3 = 2 F4 = 3 F5 = 5 F6=8 F7 = 13 F8 = 21 Fg = 34 F10 = 55 F11 = 89 F12 = 144 The 12th term, F12, is the first term to contain three digits. What is the index of the first term in the Fibonacci sequence to contain 1000 digits? The Fibonacci sequence is defined by the recurrence relation: Fn = Fn-1 + Fn-2, where F = 1 and F2 = 1. Hence the first 12 terms will be: F = 1 F = 1 F3 = 2 F4 = 3 F5 = 5 F6=8 F7 = 13 F8 = 21 Fg = 34 F10 = 55 F11 = 89 F12 = 144 The 12th term, F12, is the first term to contain three digits. What is the index of the first term in the Fibonacci sequence to contain 1000 digits?

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