Series and Sequences

Fast trick to solve Series & sequences

What should come in the place of Question marks (?) in the following series?

1) 9 , ? , 49 , 81 , 121 , 169

As we can see each number is square of another number so:

32 , 52 , 72 , 92 , 112 , 132 ,

? = 25


2) 10 , 26 , 50 , 82 , 122 , ?

As we can see each number is square of some another number and 1 is added to the square of that numbers:

1 term = 32 +1 = 10

2 term = 52 +1 = 26

3 term = 72 +1 = 50

4 term = 92 +1 = 82

5 term = 112 +1 = 122

6 term = 132 +1 = 170

? = 170