Question

In the given series 12,23,34,56,..... if we continue further, would we get 100 ?

Answer 1

12 is 1 more than 11

23 is 1 more than 22

34 is 1 more than 33

So, all our numbers are got by adding 1 to multiples of 11.

In other words, they all leave remainder 1 on dividing by 11

Now, we can easily check weather 100 is in the set so, the pattern will be 11n+1 (n= 1,2,3....)

So, for n=9
11 $\times$ 9 + 1 = 100
So, we will get 100 in the series.