Question

9, 26 , 65, 124 next number step by step

Answer 1

a) 9=2^3+1.
b) 26=3^3-1
c) 65=4^3+1
d) 124=5^3-1
E) 374=7^3+1

Answer 2

Given: The given series is 9, 26, 65, 124.

To find: We have to find the next term of the series.

Solution:

The next term of the series can be determined by the following steps-

To determine the next term of the above series we have to know the pattern of the series.

The series is 9, 26, 65, 124.

The pattern is as follows-

${2}^{3} + 1 = 9 \\ {3}^{3} - 1 = 26 \\ {4}^{3} + 1 = 64 \\ {5}^{3} - 1 = 124$

Thus, the next term will be-

${6}^{3} + 1 = 217$

Thus, the next term of the above series is 217.