-1+2^1/2-3^1/2+4^1/2-5^1/2............+2014^1/2
i mean it s a "brain easer" problem there is need to be easy way
-1+2^1/2-3^1/2+4^1/2-5^1/2............+2014^1/2 up to ^2
it will be -1+2-3+4-5......-2013+2014=x^2
x^2=1
x=1
-1+2^1/2-3^1/2+4^1/2-5^1/2............+2014^1/2 ≈ 22.061
You can't square each individual term Solveit. If x = -1+2^1/2-3^1/2+4^1/2-5^1/2............+2014^1/2
it is not true that x^2 = -1 + 2 -3 + 4 -5 +...-2013 + 2014
how did you calculated this ?
I just used a piece of numerical software. I also thought it was a brain teaser at first and looked for a simpler way; however, I couldn't see one!
Now if the individual terms were squared instead of square-rooted, it would be a different matter.