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3,6,18,72,360, what is the next two terms

 Apr 22, 2014

Best Answer 

 #2
avatar+130477 
+8

Re: 3,6,18,72,360, what is the next two terms

Let's see if we can discover a "pattern"

3(1) = 3

3(2) = 6

3(6) = 18

3(24) = 72

3(120) = 360

Mmmmm....I think I see it now.....the terms inside the parentheses are just  "factorials" - 1!, 2!, 3!, etc.

So, the next two terms should be

3(6!) = 2160

3(7!) = 15120

That's quite  a nice series!! ...... (factorially speaking!!) 

 Apr 22, 2014
 #1
avatar+33658 
+8

    6 = 2*3

  18 = 3*6

  72 = 4*18

360 = 5*72

 xxx = 6*360

 yyy = ?*xxx

I'm sure you can work out what xxx is.

Looking at the pattern, what do you think ? is?  With it and xxx you can work out what yyy is.

 Apr 22, 2014
 #2
avatar+130477 
+8
Best Answer

Re: 3,6,18,72,360, what is the next two terms

Let's see if we can discover a "pattern"

3(1) = 3

3(2) = 6

3(6) = 18

3(24) = 72

3(120) = 360

Mmmmm....I think I see it now.....the terms inside the parentheses are just  "factorials" - 1!, 2!, 3!, etc.

So, the next two terms should be

3(6!) = 2160

3(7!) = 15120

That's quite  a nice series!! ...... (factorially speaking!!) 

CPhill Apr 22, 2014

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