What numbers should replace the question marks in the sequence?
Correct answer: 30, 34
Explanation:
The sequence is 61, 12, 48, 23, 39, ?, ?.
Look at how the numbers change:
61 - 49 = 12
12 + 36 = 48
48 - 25 = 23
23 + 16 = 39
The pattern is alternating subtracting and adding square numbers:
-49, +36, -25, +16
These are:
49 = 7²
36 = 6²
25 = 5²
16 = 4²
So the next steps are:
-9 and +4, because 9 = 3² and 4 = 2².
Continue the sequence:
39 - 9 = 30
30 + 4 = 34
Therefore, the missing numbers are 30 and 34.
Finall answer to this puzzle: 30, 34
