I have an assignment and this is to find the equation of the sequence 3, -6, 12, -24? Please help me! Thanks

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- - **How do you write the equation for this sequence 3, -6, 12, -24?**
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Jan 6, 2010, 02:52 AM

geelo
how do you write the equation for this sequence 3, -6, 12, -24?

I have an assignment and this is to find the equation of the sequence 3, -6, 12, -24? Please help me! Thanks

Jan 6, 2010, 02:57 AM

Curlyben
What do you think the pattern is ?

Jan 6, 2010, 03:25 AM

geelo
multiplying the preceding term by -2 to get the next term... but what is the equation?

Jan 6, 2010, 03:28 AM

Curlyben
Well you've got it,

so

Jan 6, 2010, 10:20 AM

Unknown008

Well, the general way to write the 'general solution of a sequence' of this type (geometric progression) is that way:

where n is the n th term (for example T1 is first term, T2 second term, etc)

a is the first term

r is the common ratio

Well, you have Equations setting up:

Those are enough to give the formula:

Anyway, that's how you do it in higher classes if ever I made a wrong guess on your math level.

Jan 14, 2010, 03:39 AM

geelo
Jan 15, 2010, 12:02 PM

Unknown008

You're welcome! :)

God bless too :)

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