Question

What would be the next number in the series: 12, 51, 34 ,95,?

Answer 1

The next number in the series will be 100.

Explanation

The given series is:    12,  51,  34,  95, .......

The pattern is :  Difference of two consecutive odd terms and difference of two consecutive even terms are in a geometric series.

$34-12=22\\ \\ 95-51=44$

According to geometric series, the next difference should be 66.

Suppose, the next term in the given series is  $x$

Then....

$x-34=66\\ \\ x=66+34= 100$

So, the next number in the series will be 100.