Guest Posted May 21, 2008 Report Share Posted May 21, 2008 The first number in the sequence I'm thinking of is 4. The second number in the sequence I'm thinking of is exactly 6.75. The next three numbers (rounded to 3 decimal places) are 9.481, 12.207, and 14.930 What is the pattern to this sequence? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 21, 2008 Report Share Posted May 21, 2008 As some help, a very similar sequence with the first five terms given is below. It may be just a bit easier (as there is no rounding for any of the first five terms. 2, 4.5, 7.11111111..., 9.765625, 12.4416, ... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 21, 2008 Report Share Posted May 21, 2008 (N+1)^(N+1)/N^N Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 21, 2008 Report Share Posted May 21, 2008 The difference between each number starts at 2.75 and drops 1/100th each time. 2.75, 2.74, 2.73, 2.72. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 21, 2008 Report Share Posted May 21, 2008 this is easy ... 2^2/1^1 , 3^3/2^2 , 4^4/3^3 , 5^5/4^4 and so on .... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 21, 2008 Report Share Posted May 21, 2008 this is easy ... 2^2/1^1 , 3^3/2^2 , 4^4/3^3 , 5^5/4^4 and so on .... your equation gives: 4, 2.25, 1.7777..., 1.5625, ... ?? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 22, 2008 Report Share Posted May 22, 2008 (edited) N^(N-1)/(N-1)^(N-2) So, 2^1/1^0 = 2/1 = 2 3^2/2^1 = 9/2 = 4.5 4^3/3^2 = 64/9 = 7.111 5^4/4^3 = 625/64 = 9.765 etc.. Edited May 22, 2008 by steve10 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 22, 2008 Report Share Posted May 22, 2008 your equation gives: 4, 2.25, 1.7777..., 1.5625, ... ?? how do you work that out??? 2^2/1^1=4/1=4 3^3/2^2=27/4=6.75 4^4/3^3=256/27= 9.481 etc etc. Quote Link to comment Share on other sites More sharing options...
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Guest
The first number in the sequence I'm thinking of is 4.
The second number in the sequence I'm thinking of is exactly 6.75.
The next three numbers (rounded to 3 decimal places) are 9.481, 12.207, and 14.930
What is the pattern to this sequence?
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