Question

Find the next term of the series 21,31,22,74,? with explanation
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Answer 1

Given:

• A series 21,31,22,74,?

To Find:

• We have to find the missing term.

Solution:

Series is 21,31,22,74,?

First reverse the digits within the number

We get,

          12, 13, 22, 47

Now find the difference between two numbers

          13- 12 = 1 = 1^2

         22-13 = 9 = 3^2

         47 - 22 = 25 = 5^2

From the above pattern we can see that

Difference between two numbers is square of odd digits starting from one

So next term is

        47 + 7^2 = 47+49 = 96

Now reverse this number 96 digits

       ⇒ 69

Thus, the missing number is 69.

Answer 2

21,31 ,22,47,..

Reverse them

12,13......

Diifere.......is1,9..

So next differencebe 49

.

So add to 47+49=69

Because ans is in reverse order

hope it help u