Monday

July 28, 2014

July 28, 2014

Posted by **George** on Saturday, July 9, 2011 at 10:49pm.

one over one squared plus one over two squared plus one over three squared....... plus one over 1000 squared is smaller than two. Details please.

- MATHS -
**Ms. Sue**, Saturday, July 9, 2011 at 10:51pm1 * 1 = 1

1/3 * 1/3 = 1/9

1/1000 * 1/1000 = 1/1,000,000

- MATHS -
**bobpursley**, Saturday, July 9, 2011 at 10:58pmHere are three proofs, take your pick.

http://en.wikipedia.org/wiki/Basel_problem

- MATHS -
**Anonymous**, Saturday, July 9, 2011 at 11:07pm1/2^2<1/(1*2)=1-1/2

1/3^2<1/(2*3)=1/2-1/3

1/4^2<1/(3*4)=1/3-1/4

......................

1/999^2<1/(998*999)=1/998-1/999

1/1000^2<1/(999*1000)=1/999-1/1000

Now add all inequalities

- MATHS -
**bobpursley**, Saturday, July 9, 2011 at 11:10pmhttp://www.southernct.edu/~sandifer/Ed/History/Preprints/Talks/NYU%20Basel%20Problem%20Paper.PDF

- MATHS -
**Alexander**, Sunday, July 10, 2011 at 7:56amCould you expand more on the answer anoymomous?

**Related Questions**

math - Write an explicit formula for the sequence one-half, three-sevenths, one-...

Mathematics - what is (5 3/5 divided by 1 5/9) - (1 1/5) squared? what is (five ...

math - i am having a minor difficulty i've been stuck for over an hour and don't...

Math11U - A Pythagorean Triple is a set of integers that satisfy the Pythagorean...

algebra - x+3 over x cubed - x squared -6x divided by x squared -9 over x ...

algebra 2 multiple choice HELP - find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)...

AP Calc BC - Hi! Thank you for your help How do you find the antiderivative of 2...

Math - A circle with the equation (x+3)squared plus (y-2)squared = 25 is ...

algebra - x cubed + x squared over x squared - 16 times x + 4 over 3x to the ...

Algebra - If anyone could please just look these over: The given measures are ...