Question

Fill in the next term of the given series.
0, 1, 1, 2, 3, 5, 8, 13,

• A. 17
• B. 19
• C. 21

Answer 1

The correct option is C 21

We can write the given series like this -

The first two terms are given as 0 and 1 respectively, so we can write the 3rd term as

3rd term = 1 = 1 + 0 = 1st term + 2nd term
4th term = 2 = 1 + 1 = 2nd term + 3rd term
5th term = 3 = 1 + 2 = 3rd term + 4th term
6th term = 5 = 2 + 3 = 4th term + 5th term
7th term = 8 = 3 + 5 = 5th term + 6th term
8th term = 13 = 5 + 8 = 6th term + 7th term

The next term in the series is found by adding up the two terms before it.

Hence the next term will be

9th term = 7th term + 8th term = 8 + 13 = 21