Question

if T1,T2,T3,T4.........Tn are consecutive terms of an A.P.,then prove that 1/T1T2+1/T2T3+.....................+1/Tn-1Tn=n-1/T1*Tn

Answer 1

1. The slope of hypotenuse = 

or using the smaller triangle, slope = 

2. 
     Column A     Column B 
(1, 2) and (2, 4) - (2, 2)
(2, 4) and (3, 6)  - (3, 4)
(2, 4) and (4, 8) - ( 4, 4)
(1, 2) and (3, 6) - (2, 3) or (1, 6)

Answer 2

Hey there!

I hope this would clear all your doubts.

Pls refer the image for the solution.