Question

Complete the series:

1, 4, 13, 28, 49, ___, _​

Answer 1

I think it's quite simple

first difference between them is

3,9,15,21

odd multiples of 3

from this perspective,

the succeeding numbers are

49+27=76 and

76+33=109

Answer 2

Given:

A series of numbers 1, 4, 13, 28, 49.

To Find:

The next two terms of the series.

Solution:

The next two terms of the equation can be found by developing a common logic between every term.

1. The given series is 1, 4, 13, 28, 49.

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

=> Second term = first term + 3,

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

=> Third term = Second term + 9,

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

=> Fourth term = Third term + 15,

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

=> Fifth term = Fourth term + 21,

6. The next two terms in the sequence can be obtained using the same logic,

=> Sixth term = Fifth term + 27,

=> Sixth term = 49 + 27,

=> Sixth term = 76.

7. The seventh term in the series will be,

=> Seventh term = Sixth term + 33,

=> Seventh term = 76 + 33,

=> Seventh term = 109.

Therefore, the complete series is 1, 4, 13, 28, 49, 76, 109.