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Forum: General Questions - High School/Secondary
Welcome to the General Questions - High School/Secondary forum!

For discussing questions from any discipline at high school/secondary school level.

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Formula for a pattern by zee on 2010-02-04 14:21:14
Can you come up with a formula for the following sequence of numbers:

1 , 3 , 5 , 11 , 21, 43 , 85 , 171 , ...
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bivariate analysis by anirban_mandal on 2010-02-01 11:24:00
suppose we are given two random variables X and Y.
how can we prove the following proposition:-

If Cov(X,Y)=0 , X and Y are independent if and only if each of X and Y take oat most two distinct values.
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sum of sequence by anirban_mandal on 2010-01-29 13:48:48
what is the sum of the following sequence as a function of 'n'.

 1*1! + 2*2! + 3*3! + ...... + n*n!

would be a great help if someone could say how i should approach the problem.
[ reply | up ]
sum of divisors by anirban_mandal on 2010-01-25 11:37:21
let S(n) denote the sum of the divisors of n including 1 and itself.
let [.] denote the floor function.
then how can we prove the following result :-

S(1)+S(2)+.....+S(n)= 1*[n/1] + 2*[n/2] + .... + n*[n/n]
[ reply | up ]
Solution Process by Menzess on 2009-12-25 11:55:04
When a number is divided by 5,remainder is 4.When the same number is divided by 4,remainder is 3 & so on that when divided by 2,remainder is 1.What's the number ?

I know the answer is 59.
But I want to know the process of solving this problem.
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