I think this a geometric sequence.

R

Ramset007

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Consider the following sequence.

1,2,6,24,120,...

Assuming the sequence is denoted by A1 ,A2 ,A3 ,..., then AN= give an explicit formula for AN

I can find a recursive formula using the preceding terms but I am having trouble finding an explicit formula using 1 as the first term and N as a base. I’m not sure what r rate would be. I’m trying to fit into AN = A1 ᐧ rN .

Hope you can help
Kevin
 
Ramset007 said:
Consider the following sequence.

1,2,6,24,120,...

Assuming the sequence is denoted by A1 ,A2 ,A3 ,..., then AN= give an explicit formula for AN

I can find a recursive formula using the preceding terms but I am having trouble finding an explicit formula using 1 as the first term and N as a base. I’m not sure what r rate would be. I’m trying to fit into AN = A1 ᐧ rN .

Hope you can help
Kevin
Click to expand...

No - it is not a geometric sequence. The sequence does not have constant factor.

What is the recursive relation that you had found?
 
Ramset007 said:
Consider the following sequence.
1,2,6,24,120,...
Click to expand...
The recursive definition is: \(\displaystyle A_1=1\) & if \(\displaystyle n\ge 2\) then \(\displaystyle A_n=n\cdot A_{n-1}\).

Can you find the explicit formula?
 
pka said:
The recursive definition is: \(\displaystyle A_1=1\) & if \(\displaystyle n\ge 2\) then \(\displaystyle A_n=n\cdot A_{n-1}\).

Can you find the explicit formula?
Click to expand...

Is it simply An=n! ?

Do you use an editor or special cut and paste technique to do subscripts, >=, ect?
I checked FAQs and searched awhile on this site but had to go back to homework.

Kevin
 
Last edited by a moderator:
Ramset007 said:
Is it simply An=n! ?
Click to expand...
What did you see when you tried this formulation? Did it fit?

Ramset007 said:
Do you use an editor or special cut and paste technique to do subscripts, >=, ect?
Click to expand...
You can see a quick overview of basic commands for characters (like Greek letters or "plus-minus" signs) here. You can see a listing of formatting info here. Just enclose things in "tex" tags, and you'll be on your way!
 
Thanks everyone!

stapel said:
What did you see when you tried this formulation? Did it fit?


You can see a quick overview of basic commands for characters (like Greek letters or "plus-minus" signs) here. You can see a listing of formatting info here. Just enclose things in "tex" tags, and you'll be on your way!
Click to expand...


Yes, N! was the correct answer to a homework question in a Pearson online math course.
Thanks everyone for the hints but not the answer. And thanks for the links to basic commands.

Math Geeks Rock!
Kevin
 
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