I need help with this math problem ?

Question

i can't find the patern....1,3,7,15,31,63,_,_, ....please explain the pattern

Answer 1

Next terms are 127 and 255

1 (+2) 3 (+2^2) 7 (+2^3) 15 (+2^4) 31 (+2^5) 63 (+2^6) 127...

Answer 2

The answer is 127. To explain it they add 1+2=3+4=7+8=15+16=31+32=63+64=127: they just keep doubling the number to add to it to continue the pattern.

Answer 3

First, look at the pattern. It goes from 1 to 3. Let's say the pattern is to add 2 to the previous number so 1 + 2 is 3. Then look at the next one. It goes from 3 to 7. So you add 4. 4+3=7. Look at the next one. 7 and 15. 7+8=15. So far we have added 2, 4, and 8 to different numbers. Do you see the difference? We take the number we added to the first number (2) and multiply it times 2 to make 4, and add that to the 2nd number (3). Then we take 4 and multiply it by 2 again to get 8, and add that on to the 3rd number (7+8=15.) Then you multiply 8 by 2, get 16, and add that to the 4th number (15) to get 31. You keep on doing this for however long you need to to finish the pattern.

Answer 4

the sequence is 2 to the next power plus the previous number.
The sequence starts out as:
2^0 + 0 = 1
Then 2^1 + 1 = 3
Then 2^2 + 3 = 7
Then 2^3 + 7 = 15
Then 2^4 + 15 = 31
Then 2^5 + 31 = 63
Then 2^6 + 63 = 127
Then 2^7 + 127 = 255
Final sequence = 1,3,7,15,31,63,127,255

Answer 5

each number is 1 less than a power of 2:

1 = 2^1 - 1
3 = 2^2 - 1
7 = 2^3 - 1
15 = 2^4 - 1
31 = 2^5 - 1
63 = 2^6 - 1

so the next is 2^7 - 1 = 127.

if you want it recursive, each number is 1 more than twice the preceding number, so just double and add one to continue the sequence:

....63, 127, 255, 511, .........

Answer 6

plus each number squared it's hard to explain but the first are 2 apart from 1 and 3 then the next is 4 since 2 sqaured is 4 then 16 since 4 squared is 16 ect.

Answer 7

1, 3, 7, 15, 31, 63, 127, 255,

Mersenne number

Answer 8

each number is the difference of the preceding two numbers squared, added to the preceeding number

Answer 9

2x + 1