Correct option is A

Given:

The sequence is: 10, 14, 23, 39, ?

Step-by-Step Solution:

1. Find the differences between consecutive terms:

- 14 - 10 = 4

- 23 - 14 = 9

- 39 - 23 = 16

2. Analyze the pattern in the differences:

- 4 = $$2^2$$​

- 9 = $$3^2$$​

- 16 = $$4^2$$​

3. The differences are consecutive squares. The next square in the sequence is:

- $$5^2$$​ = 25

4. Add this difference to the last term:

- 39 + 25 = 64

Conclusion:

The next term in the sequence is 64.