What is the next term of the series 2, 6, 12, 20, 30...

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The next term of the series made up of 2, 6, 12, 20, 30... has to be determined.

The numbers do not form an arithmetic series as 6 - 2 = 4, 12 - 6 = 6, 20 - 12 = 8... the difference is not common. Also, the ratio of the terms is not common.

Looking at the difference between the terms it can be seen that 6 - 2 = 4, 12 - 6 = 6, 20 - 12 = 8, 30 - 20 = 10. The difference of the terms forms an arithmetic series with common difference 2.

This gives the next term of the series as 30 + 12 = 42

The next term of the series made up of 2, 6, 12, 20, 30... is 42.

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