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Find the missing term in the series given below.2, 12, 36, 80, ?

Question

Find the missing term in the series given below.2, 12, 36, 80, ?

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Solution

The given series is 2, 12, 36, 80, ?

This is a series of numbers where each term is obtained by adding a certain number to the cube of a natural number.

Let's break it down:

  • The first term is 2, which is 1^3 + 1.
  • The second term is 12, which is 2^3 + 4.
  • The third term is 36, which is 3^3 + 9.
  • The fourth term is 80, which is 4^3 + 16.

From this pattern, we can see that the nth term is given by n^3 + n^2.

So, the fifth term should be 5^3 + 5^2 = 125 + 25 = 150.

Therefore, the missing term in the series is 150.

This problem has been solved

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