Find the next number:
2, 3, 7, 16, 32, ?
Show answer & explanation
Correct answer: A
Explanation
3 − 2 = 1 = 1²
7 − 3 = 4 = 2²
16 − 7 = 9 = 3²
32 − 16 = 16 = 4²
That is, 1², 2², 3², and 4² are added, respectively.
The next difference = 5² = 25
Therefore,
32 + 25 = 57
Correct answer: 57