Question

What is the next number in the series 14, 49, 916, 1625....

Answer 1

The nautral numbers are 1, 2, 3, 4, 5, ……. Their squares are 1, 4, 9, 16, 25, …..  

Each term in the given series has been formed by pairing the squares of the natural numbers 1 and 4, 4 and 9, 9 and 16, 16 and 25, …  

Therefore the next term = 2536

Answer 2

Step-by-step explanation:

1, 2 ,3, 4 ,5 ,6 ,their squares 1 ,4, 9 ,16 ,25 ,36

Combination of adjacent squares of these numbers form the series

14 ,49 ,916 ,1625 ,2536