Question

next term of 21,31,22,74​

Answer 1

Step-by-step explanation:

Given:

• A series 21,31,22,74, ? is given.

To Find:

• Find next term of the series.

Solution:

⇒    First reverse digits within the number.

           21 ⇒ 12

           31  ⇒ 13

            22 ⇒ 22

           74 ⇒  47

      Now, series become 12,13,22,47

⇒ Find the difference between to numbers

           13 - 12 =  1   = 1^2

           22 - 13=  9  = 3^2

           47 - 22 = 25 = 5^2

As per the pattern difference between two numbers is square of odd digit.

So next difference be 7^2 = 49

         47+49=96

Now, reverse the digits 69

We get , Answer is 69

Thus, the series is 21,31,22,74​,69