Brain Teasers
The Impossible Sequence
What is the next number in the sequence?
1
2
2.5
2.833333333
3.083333333
3.283333334
1
2
2.5
2.833333333
3.083333333
3.283333334
Hint
You have to use above average thinking.Answer
The next number is 3.45. Each number was arrived at by taking the average of the previous set of numbers and adding one to it. The average of 1 is 1. Add 1 to 1 and you get 2. The average of 2 and 1 is 1.5. Add 1 to 1.5 and you get 2.5. And so on.Hide Hint Show Hint Hide Answer Show Answer
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Comments
Wow, that sequence is impossible. nice one
thank you!
or the sequence is... start with one, then add 1/1 then add 1/2 then 1/3 etc.
That would work if the fourth number was 2.33333 instead of 2.833333
Beetee is correct. It's an easier way to explain the series!
It is also response to
g(x)=g(x-1)*x+(x-1)!
f(x)=g(x)/x!
só g(x) serie should be 1,2,5,17,74,394
x! = 1 1 2 6 24 120
f(x) so it is = 1/1 2/1 5/2 17/6 74/24 394/120
so the next it
g(x)= 394*6+5!= 2484
6!=240
f(x) = 2484/240 = 3.45
It was a very long way for an easy riddle. I like it!!!
g(x)=g(x-1)*x+(x-1)!
f(x)=g(x)/x!
só g(x) serie should be 1,2,5,17,74,394
x! = 1 1 2 6 24 120
f(x) so it is = 1/1 2/1 5/2 17/6 74/24 394/120
so the next it
g(x)= 394*6+5!= 2484
6!=240
f(x) = 2484/240 = 3.45
It was a very long way for an easy riddle. I like it!!!
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