Given Series

1. Given number series: 3, 5, 8, 13, 21, 34, ?

Question

What is the next number in the given series?

Answer

55.

Solution

1. Examine the relationship between terms:
2. 3 + 5 = 8
3. 5 + 8 = 13
4. 8 + 13 = 21
5. 13 + 21 = 34
6. Each term is the sum of the preceding two terms (Fibonacci pattern).
7. Next term = 21 + 34 = 55.