Question 1203253: Select the option for ? That continues the pattern
3,5,12,55,648,?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! No see pattern upon first sight and thought.
Try graphing.
Try a log or exponential fit.
At least try differences to each successive terms.
Answer by ikleyn(52802)  (Show Source):
You can put this solution on YOUR website! .
Select the option for ? That continues the pattern
3,5,12,55,648,?
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As usual for this forum and for similar assignments, the problem's
formulation in the post is grammatically and mathematically INCORRECT.
It is incorrect, because it says about "the pattern", while a correct
formulation should say "a pattern", because the number of possible patterns is infinitely large.
A correct possible formulation is as follows:
Try to find at least one possible pattern for the given sequence.
If you manage to find a pattern, then find a number " ? ", which continues the pattern.
Below is my solution for this MODIFIED formulation.
The given numbers follow the pattern
 =  , n = 1, 2, 3.
which is the same as
=  , n = 1, 2, 3.
To check the validity, simply make calculations according to this formula.
The option for " ? " is 66*648-55 = 42713.
Notice that I do not state that the pattern is a unique.
Actually, there are infinitely many other patterns.
Equally, I do not state that the number 42713 is the next number in this series.
My number is a value, which continues this selected pattern. That is all.
For other pattern, the "next" number will be different.
Solved.
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My notices and corrections may seem small and unimportant, but if they are not understood
and not spoken clearly, then a global misunderstanding can grow out of these small details.
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