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

Sequences, counting (including probability), logic and truth tables, algorithms, number theory, set theory, etc.
noobzilla
Posts: 15
Joined: Wed Oct 07, 2009 4:24 pm
Contact:

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

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!

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:

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

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....
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!

noobzilla
Posts: 15
Joined: Wed Oct 07, 2009 4:24 pm
Contact:

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

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.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
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!

Return to “Discrete Math”