Question

26. In the following question, select the missing
number from the given series.
2112,2328,2671,3183, ?, 4912
(a) 3826
(b) 3742
(c) 3912
(d) 3992​

Answer 1

Answer:

Option (c), 3912 is correct.

Solution:

The given numbers are

2112, 2328, 2671, 3183, ? , 4912

• Difference between 2112 and 2328

= 2328 - 2112 = 216 = 6³

• Difference between 2328 and 2671

= 2671 - 2328 = 343 = 7³

• Difference between 2671 and 3183

= 3183 - 2671 = 512 = 8³

In this problem, we see that the differences are the cubes of 6, 7, 8, ... . So the 9³ must be added with 3183 to get the next term and 10³ with the resulting term to get the last term 4912.

So the required term is

= 3183 + 9³ = 3183 + 729 = 3912

and the last term is

= 3912 + 10³ = 3912 + 1000 = 4912

Hence, ? = 3912.