Question

Replace '?' with the correct alternative.
49, 925, 2549, ?, 121169
...and kindly justify, why the answer you give, happens.

Answer 1

Given:

A series- 49, 925, 2549,? , 121169

To find:

The missing number

Solution:

We can find the solution by following the given process-

We have to look at the structure of each of these numbers to understand the pattern followed here.

The first term is 49 which constitutes 4 and 9.

Here,

${2}^{2} = 4 \: and \: {3}^{2} = 9$

Similarly, in the second term,

${3}^{2} = 9 \: and \: {5}^{2} = 25$

and so on.

The numbers are formed by placing the squares of two consecutive prime numbers.

So, the two terms in the fourth number will be the squares of 7 and 11.

${7}^{2} = 49 \: and \: {11}^{2} = 121$

The term will be 49121.

Therefore, the missing term is 49121.