Number sequences

63

you add the next real number to the sequence number

1,2=3
3,4=7
7,8 =15
15,16=31
31,32=63

..1+2=3
..3+4=7
..7+8=15
15+16=31

can you see the pattern now, Sophie?

(didn't see ya there, dj...)

cool, i'm invisible

The correct answer is 63.. but...

Take the number multiply times 3 then subtract 2 times the previous number

1 x3 - (0x2) = 3
3x3-(1x2) = 7
7x3 -(3x2) = 15
15 x 3 - (7x2) = 31
31 x 3 - (15x 2) = 63

That seems like an overly complicated solution.

Overly complicated but still correct.

In many circles, especially mathematical ones, overly complicated answers are in fact incorrect.

In this case, the answer is correct based on the question.

Multiple correct answers does not make one incorrect simply because you think it is complicated.

There are 3 correct answers so far.
add the next number to the number
add the next power of 2
my answer.

One can also multiple the number times 2 and add 1.
That makes 4 different reasons why the next number is 63.