Question

1331,2197,4913,6859,?,24389

Answer 1

Answer: 12167

Step-by-step explanation: it is the cubes of prime numbers from 11

11×11×11=1331

13×13×13=2197

17×17×17=4913

19×19×19=6859

23×23×23=12167

29×29×29=24389

As the steps are easy all we need to do is calculation

We have got the answer .

Hope this is informative

Answer 2

Solution:

1331,2197,4913,6859,?,24389

For solving series types of questions you need to take our square,cube,add, subtract so, as the series logic can be found out.

Let us see what gets applied in above series :-

1331 = 11 x 11 x 11 = 11³

So, the first number of series is coming on cubing up 11

Let's see if next number also follows same,

1728 = 12 x 12 x 12 = 12³ [This is not in the series]

2197 = 13 x 13 x 13 = 13³ [This is in series]

So , we got the first two number in series by cubing 11 and 13

Maybe its the series of cubing the odd numbers.

Let's see with 15 , 17 and so on.

3375 = 15 x 15 x 15 = 15³ [This is not in series]

4913 = 17 x 17 x 17 = 17³ [This is in series]

This proves that series is not of cubing odd numbers.

The series if of cubing consecutive prime numbers.

After 17 the prime number will be 19 and so on.

6859 = 19 x 19 x 19 = 19³

12167 = ? = 23 x 23 x 23 = 23³

24389 = 29 x 29 x 29 = 29³

1331 = 11 x 11 x 11 = 11³

2197 = 13 x 13 x 13 = 13³

4913 = 17 x 17 x 17 = 17³

6859 = 19 x 19 x 19 = 19³

12167 = 23 x 23 x 23 = 23³

24389 = 29 x 29 x 29 = 29³

So, the answer is 12167 which will come at missing place.