Question 179157: pattern question
2, 3, 5, 7, 11...
My logic:
The pattern looks like the first two #s increases by 1 (1 time), next two increases by 2 X the previous increase which was 1 and it happens 2 times, next increase is 2 X previous increase which was 2 and should happen 4 times, so the next number should be 15, then 19, then 23
Found 2 solutions by Mathtut, Edwin McCravy:
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! this one is a tough one as far trying to find a formula.
:
My best guess would be these are prime numbers. therefore the next number in the pattern would be:
:
13
Answer by Edwin McCravy(20054)  (Show Source):
You can put this solution on YOUR website! Edwin's solution:
2, 3, 5, 7, 11...
My logic:
The pattern looks like the first two #s increases by 1 (1 time), next two increases by 2 X the previous increase which was 1 and it happens 2 times, next increase is 2 X previous increase which was 2 and should happen 4 times, so the next number should be 15, then 19, then 23.
You have figured a pattern that is perfectly logical!
Your teacher could not consider that pattern incorrect.
However, the sequence 2, 3, 5, 7, 11 are the first
five prime numbers.
A prime number is a positive integer which has exactly
2 positive integer factore, one factor being 1 and the
other factor is the positive number itself.
So the next prime numbers after 11 are 13, then 17, 19,
23, 29, 31, 37, 41, 43,...
This shows that different sequences can have the first
few terms the same, as does yours and the sequence of
prime numbers.
Edwin
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