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Question -

The Fibonacci sequence is defined by

1 = a1 = a2 and an = an– 1 + an – 2, n > 2

Find an+1/an, for n = 1, 2, 3, 4, 5 



Answer -

Given,

1 = a1 =a2

an = an– 1 + an – 2, n > 2

So,

a3 = a2 +a1 = 1 + 1 = 2

a4 = a3 +a2 = 2 + 1 = 3

a5 = a4 +a3 = 3 + 2 = 5

a6 = a5 +a4 = 5 + 3 = 8

Thus,

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