aritmetik ilerleme

[stuart clark]

If in an [tex]A.P[/tex],the sum of [tex]m[/tex] terms is equal to sum of next [tex]n[/tex] terms as well as sum of  

next[tex]p[/tex] terms,then prove:

[tex](m+n)\left\{\frac{1}{m}-\frac{1}{p}\right\}=(m+p)\left\{\frac{1}{m}-\frac{1}{n}\right\}[/tex]