Question

What is the next number in the sequence: 9, 16, 24, 33...?

Answer 1

`43`

Explanation:

Find the difference between each of the terms:
`9\color(white)" "16\color(white)" "24\color(white)" "33`
`\color(white)" "7\color(white)" "8\color(white)" "9`

It seems that the second term is `7` greater than the first term, the third term is `8` greater than the second term, the fourth term is `9` greater the third term, and so on.

Thus, the next term, which is the fifth term of the sequence, should be `10` greater than the fourth term. Thus, the next term would be `33+10=43`.