Thursday, December 17, 2009

What is the next number in the series of numbers? 1,2,6,42,1806, ______?

Next number in series of numbers: 1,2,6,42,1806, ____What is the next number in the series of numbers? 1,2,6,42,1806, ______?
3263442, 1065327796806, 1134923313583263554792442





the pattern is adding one to the last number and then mulitiplying it by the previous number.What is the next number in the series of numbers? 1,2,6,42,1806, ______?
looks like the pattern is


1+1^2 = 2


2+2^2=6


6+6^2 = 42


42+42^2 = 1806


so the next number is 1806+1806^2 = 3263442
((n-1)!)^2+previous term


16206
1x2=2


2x3=6


6x7=42


42x43=1806


1806x1807=3263442





Edit - why on earth do people give a thumbs down for the correct answer? Peoples working may be different but thats maths.
3,263,442


(1*1=1), (1*2=2), (2*3=6), (6*7=42), (42*43=1806), (1806*1807= 3,263,442) They are each being multiplied by the number that comes after it.
3,263,442





x times x plus x.
16,486
its (n^2)+n so it's (1806^2)+1806





i'll let you finish that off :)





x
next number = previous number * ( previous number + 1 )


1*(1+1)=2


2*(2+1)=6


6*(6+1)=42


42*(42+1)=1806


and you have :


1806*(1806+1)=3263442
3263442





multiply 1806 by 1806 and add 1806
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