What Comes Next in the Sequence: 1, 3, 23, 367, ?

Look at this series of numbers and find the logic behind it and then find;


What comes next in the sequence;

1, 3, 23, 367, ?

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Answer:

The pattern followed by the sequence is as follows;


1 x 2^1 – 1 = 1 x 2 – 1 = 1

1 x 2^2 – 1 = 1 x 4 – 1 = 3

1 x 2^3 – 1 = 3 x 8 – 1 = 23

1 x 2^4 – 1 = 23 x 16 – 1 = 367

1 x 2^5 – 1 = 367 x 32 – 1 = 11,743

ANswer = 11,743

 

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