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Question -

The Fibonacci sequence is defined by

1 = a1┬а= a2┬аand an┬а= anтАУ 1┬а+ an тАУ 2, n > 2

Find an+1/an, for n = 1, 2, 3, 4, 5┬а



Answer -

Given,

1 = a1┬а=a2

an┬а= anтАУ 1┬а+ an тАУ 2, n > 2

So,

a3┬а= a2┬а+a1┬а= 1 + 1 = 2

a4┬а= a3┬а+a2┬а= 2 + 1 = 3

a5┬а= a4┬а+a3┬а= 3 + 2 = 5

a6┬а= a5┬а+a4┬а= 5 + 3 = 8

Thus,

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