Question

3, 12, 33, 72, 135, 228, ______​

Answer 1

Answer:

Casandra said: (Tue, Oct 2, 2018 11:02:29 PM IST)

The series is 3, 12, 33, 72, 135, 228, 257, 528, 747, 1020, 1253.

Answer 2

Given:

A sequence of numbers 3, 12, 33, 72, 135, 228.

To Find:

The next term of the series.

Solution:

The given problem can be solved by developing a common logic between every term

1. The given series is 3, 12, 33, 72, 135, 228.

2. The second term of the series is obtained using the logic,

=> 12 = 3 + 9,

3. The third term of the series is obtained using the logic,

=> 33 = 12 + 9 + 12,

4. The fourth term of the series is obtained using the logic,

=> 72 = 33 + 9 + 12 + 18,

5. The fifth term of the series is obtained using the logic,

=> 135 = 72 + 9 + 12 + 18 + 24,

6. The sixth term of the series is obtained using the logic,

=> 228 = 135 + 9 + 12 + 18 + 24 + 30,

7. The next term can be calculated using the same logic,

=> Seventh term = 228 + 9 + 12 + 18 + 24 + 30 + 36

=> Seventh term = 357

Therefore, 357 is the next term in the series.