To find the missing term in the given sequence, let's analyze the pattern:
The sequence appears to be increasing at an irregular rate. Let's look at the differences between consecutive terms:
2 - 1 = 1
10 - 2 = 8
37 - 10 = 27
101 - 37 = 64
The differences between consecutive terms appear to be increasing by a power of 2: 1, 8, 27, 64.
Now, let's continue this pattern:
101 + 64 = 165
So, the next term in the sequence should be:
101 + 64 = 165.
However, none of the given options match 165. Therefore, let's reevaluate the pattern:
1^3 + 1 = 2
2^3 + 2 = 10
3^3 + 3 = 36 (not 37)
4^3 + 4 = 68 (not 101)
From this analysis, it appears that the pattern is the sum of the cubes of consecutive positive integers, plus the next positive integer:
1^3 + 1 = 2
2^3 + 2 = 10
3^3 + 3 = 36
4^3 + 4 = 68
5^3 + 5 = 130
Therefore, the missing term in the sequence is 130. However, none of the given options match 130.
Since none of the given options match the pattern, it is possible that there is an error in the question or a different pattern that we haven't noticed.