2 questions. Really appreciate any help :D

Question

faiqraees · Answer

Go on

wcrmelissa2001 · Answer

er sorry gimme 5 minute to slowly type the question

wcrmelissa2001 · Answer

$$\frac{ 1 }{ (x-1)(x-2) }+\frac{ 1 }{ (x-2)(x-3) }+...+\frac{ 1 }{ (x-n)(x-(n+1)) } where n is a posireal number$$

wcrmelissa2001 · Answer

sorry it shld say when n is a positvie real number

wcrmelissa2001 · Answer

2nd qn: $$\frac{ x+a }{ b }≥\frac{ a }{ x+b } where, a,b>0$$

mathmale · Answer

Good job of typing in your problem statement in Equation Editor.  Please add the instructions for this problem:  what are you supposed to calculate or find?

wcrmelissa2001 · Answer

Sorry. QN 1: Find the sum 
QN2: just solve for x the normal inequalities way

mathmale · Answer

$$\frac{ 1 }{ (x-1)(x-2) }+\frac{ 1 }{ (x-2)(x-3) }+...+\frac{ 1 }{ (x-n)(x-(n+1)) }$$

mathmale · Answer

I ask you to experiment with this as follows:
Separate the first and second terms into two separate fractions each, resulting in four fractions.  If you're fortunate, and if you do the algebra correctly, you'll find that two of the resulting four fractions have the same denominator, and that one fraction is + and the other -.  Cancel them, leaving yourself with just 2 fractions.

This is called a "telescoping series."  If you have a book or online materials , look up "telescoping series" for more information.

wcrmelissa2001 · Answer

THANKS :D i'll try that later