To find the pattern in the given sequence, let's look at the differences between consecutive terms:

10 - 2 = 8 30 - 10 = 20 68 - 30 = 38

The differences between consecutive terms are not constant. However, if we look at the differences between the differences, we can observe a pattern:

20 - 8 = 12 38 - 20 = 18

The second differences are constant. Therefore, we can assume that the sequence follows a quadratic pattern.

To find the next term, we need to find the third difference. We can calculate it by subtracting the second difference from the previous second difference:

18 - 12 = 6

To find the next term, we add the third difference to the last term in the sequence:

68 + 6 = 74

Therefore, the next term in the sequence is 74.

Among the given options, none of them match 74. It appears that there may be an error in the options provided. Please double-check the options or provide more information if available.

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• Wrong explanation

To find the pattern in the given sequence, let's examine the differences between consecutive terms:

1st difference: 50 - 14 = 36 2nd difference: 110 - 50 = 60 3rd difference: 200 - 110 = 90

From the pattern of the differences, we can observe that each subsequent difference is increasing by 24. Therefore, we can predict that the next difference will be 90 + 24 = 114.

To find the next term in the sequence, we need to add the last difference to the last term: 200 + 114 = 314

Thus, the next term in the sequence is 314.

Out of the given options, the correct answer is B) 336, which is not present in the given sequence.

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• Wrong explanation