The Fibonacci sequence is defined by 1 = a 1 = a 2 and a n = a n-1 + a n – 2 , n 2. Find , for n = 1, 2, 3, 4, 5

Question

The Fibonacci sequence is defined by 1 = a 1 = a 2 and a n = a n-1 + a n – 2 , n > 2. Find , for n = 1, 2, 3, 4, 5

Philoid · Accepted Answer

Here given a1 = a2 =1

And a_n = a_n-1 + a_n-2 , n > 2.

a₃ = a₂ + a₁ = 1 + 1 = 2

a₄ = a₃ + a₂ = 2 + 1 = 3

a₅ = a₄ + a₃ = 3 + 2 = 5

a₆ = a₅ + a₄ = 5 + 3 = 8

Now putting the value of n = 1, 2, 3, 4, 5 in

For