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I have this pattern: 14, 33, 40 Do you have any clue if it's possible to create a fairly basic formula for this? And with "fairly basic" I mean using only multiplication, division, subtraction, addition and power of.

If you figure it out, don't tell me the answer. Just tell me if it really is possible, and if so, give me a clue? Haha. Solving patterns is fun, and I'd really like to solve this one with my limited maths knowledge, I just need to know if it's possible yet! Any help would be awesome. Thanks.

This is my progress btw:
14 = 7+7
33 = 7+7+7+7+5
40 = 7+7+7+7+7+5

7(5+n) works for 33 and 40, but not 14!

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    $\begingroup$ oeis.org/… $\endgroup$ – parsiad Sep 30 '16 at 19:40
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    $\begingroup$ Three numbers aren't really enough to determine a pattern. Are there more in the sequence? $\endgroup$ – Alexis Olson Sep 30 '16 at 19:44
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The difference don't converge, if you're not familiar I would look at difference tables.

14 33 40 35 19 7- 5 -12 -12

Difference Tables

Another resource to read & review to help in finding patterns: Number Patterns

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For $a_{0} = 14, a_{1} = 33, a_{2} = 40$, use: $$ {a_{n} \over a_{0}} = {n-1 \over 2} + 2.35714285714 \quad \mbox{for $n = 1, 2, \ldots$} $$

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