Finding a pattern for 2, 3, 7, 16....?

Sequences, counting (including probability), logic and truth tables, algorithms, number theory, set theory, etc.
noobzilla
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Finding a pattern for 2, 3, 7, 16....?

Postby noobzilla » Wed Oct 07, 2009 4:32 pm

can someone help me figure out a pattern for the above sequence? and i guess i would also need help creating the general term, but any help will be greatly appreciated!

Thanks in advance!

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stapel_eliz
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Re: Finding a pattern for 2, 3, 7, 16....?

Postby stapel_eliz » Wed Oct 07, 2009 4:35 pm

noobzilla wrote:can someone help me figure out a pattern for the above sequence?

You can find lots of techniques for this process here. Right off, I notice that the differences between the terms are successive squares.... :wink:

noobzilla wrote:i guess i would also need help creating the general term....

What do the instructions specify?

When you reply, please show how far you've gotten, including from the above hint. Thank you! :D

noobzilla
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Re: Finding a pattern for 2, 3, 7, 16....?

Postby noobzilla » Wed Oct 07, 2009 4:49 pm

Thanks a lot!! I just needed to open my mind a bit more to other possibilities.

I figured it out and it would like like this 2, 3, 7, 16, 32, 57…

Exercise number 1 states to find the next to numbers, and exercise two asks to provide a formula for the nth term of this sequence.

Thanks again!

Now do you think you can help me formulate an equation for this?

and thnx for the link there is lots of info on that site.

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stapel_eliz
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Postby stapel_eliz » Wed Oct 07, 2009 7:38 pm

What did you get when you used the method for putting a polynomial through the points? (This was explained in the lesson, provided earlier.)

Thank you! :wink:


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