Question

Which of the following relation gives Fibonacci sequence?

(a) an = an-1 + an-2

(b) an-1 = an + an-2

(c) an-2 = an + an-1

(d) an = an+1 + an-2

The question was posed to me by my school principal while I was bunking the class.

Enquiry is from Sequences topic in section Sequences and Series of Mathematics – Class 11

Answer 1

The correct answer is (a) an = an-1 + an-2

Explanation: an = an-1 + an-2, n>2.

This is a recurrence relation which gives Fibonacci sequence.