Question

What comes next 1331,1728,2197,2744,3375,4096​

Answer 1

Step-by-step explanation:

1331,1728,2197,2744,3375,4096,4913,5832,6859,8000

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Answer 2

Given:

A series of numbers 1331,1728,2197,2744,3375,4096​

To Find:

The next number of the series.

Solution:

The next term of the series can be calculated by developing a common logic between every consecutive term.

1. The given series is 1331,1728,2197,2744,3375,4096​.

=> The first term in the series is obtained as, 1331 = 11 x 11 x 11,

=> The second term in the series is obtained as, 1728 = 12 x 12 x 12,

=> The third term in the series is obtained as, 2179 = 13 x 13 x 13,

=> The fourth term in the series is obtained as, 2744 = 14 x 14 x 14,

=> The fifth term in the series is obtained as, 3375 = 15 x 15 x 15,

=> The sixth term in the series is obtained as, 4096 = 16 x 16 x 16,

2. The next term in the series can be determined using the above logic,

=> Seventh term in the series = 17 x 17 x 17 = 4913.

Therefore, the next term in the series is 4913.