Find the value that replaces the question mark (?) to complete the given sequence.
5, 6, 10, ?, 35, 60
Correct Answer :
19
Solution :
The correct answer is 19.
To find the missing number in the sequence 5, 6, 10, ?, 35, 60, let me calculate the differences between consecutive terms:
6 - 5 = 1 = 12
10 - 6 = 4 = 22
? - 10 = 32 = 9 ⇒ ? = 10 + 9 = 19
35 - 19 = 16 = 42
60 - 35 = 25 = 52
The sequence of differences consists of consecutive perfect squares (12, 22, 32, 42, 52).
Adding 9 (which is 32) to the third term 10 gives 19, which perfectly completes the pattern.
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