What Comes Next In The Sequence: 1, 3, 9, 31, ?

Look at the series of numbers given in the riddle and find the connection between them.


What comes next in the sequence;

1, 3, 9, 31, ?

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Answer: 129.


Explanation:

If you do a bit of calculation, you will notice that the numbers in the series are of the form;

nth term = n + (n – 1) x (n – 1)th term

So let’s try this equation out;

1 x 1 + 2 = 3
3 x 2 + 3 = 9
9 x 3 + 4 = 31

So to find the next missing number;

31 x 4 + 5 = 129 = Next number.

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