Question

Which number should come next? 144, 121, 100, 81, 64?

Answer 1

12×12=144
11×11=121
10×10=100
9×9=81
8×8=64
7×7=49
Therefore, 49 is the answer.



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Answer 2

Given:

A series of numbers  144, 121, 100, 81, 64,?

To Find:

The next term in the series is?

Solution:

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

1. The given series is  144, 121, 100, 81, 64,?

2. The first term in the series is obtained as,

=> First term = 144 = 12²,

3. The second term in the series is obtained as,

=> Second term = 121 = 11²,

4. The third term of the series is obtained as,

=>Third term = 100 = 10²,

5. The fourth term of the series is obtained as,

=>Fourth term = 81 = 9²

6. The fifth term of the series is obtained as,

=>Fifth term = 64 = 8²,

7. The sixth term of the series can be obtained using similar logic,

=> Sixth term = (8-1)² = 7² = 49.

Therefore, the next number in the series is 49.