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  • Consider the following sequence: 2, 6, 12, 20, 30, 42, ? Determine the next number in the sequence.

Consider the following sequence:

2, 6, 12, 20, 30, 42, ?

Determine the next number in the sequence.

Answers (1)

best_answer

Looking at the sequence we find:

6 - 2 = 4

12 - 6 = 6

20 - 12 = 8

30 - 20 = 10

42 - 30 = 12

So, the difference increases by 2 each time - 4, 6, 8, 20, 12, .......

Following this pattern, the next difference will be 14.

Adding 14 to the last number 42 gives:

42 + 14 = 56

Hence, the next number in the sequence is 56.

Posted by

Saumya Singh

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