Question

10,22,35,40,72,40,? What is next number

Answer 1

Answer:

85 is the next number

Step-by-step explanation:

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Answer 2

Given:

A series of numbers 10, 22, 35, 40, 72, 40.

To Find:

The next term in the given series.

Solution:

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

1. The given series is 10, 22, 35, 40, 72, 40.

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

=> 22 = 10 + 12,

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

=> 35 = 22 + 12 + 1^3,

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

=> 40 = 35 + 12 + 1^3 – 2^3,

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

=> 72 = 40 + 12 + 1^3 – 2^3 + 3^3,

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

=> 40 = 72 + 12 + 1^3 – 2^3 + 3^3 – 4^3,

7. Using the similar logic, the seventh term of the series can also be found,

=> Seventh term = 40 + 12 + 1^3 – 2^3 + 3^3 – 4^3 + 5^3,

=> Seventh term = 133.

Therefore, the next term of the series is 133.