Challenge Your A.P

Algebra Level 3

If n n times the n n -th term of an arithmetic progression is equal to m m times the m m -th term, find the value of the ( m + n ) (m+n) -th term of this progression.


The answer is 0.

Praful Jain by Praful Jain , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Imgur Imgur

9 Helpful 0 Interesting 0 Brilliant 0 Confused

I also used same method.

Saurabh KR - 5 years, 6 months ago
Swagath N Shaji
Nov 22, 2015

n-th term of AP=f+(n-1)d m-th term of AP=f+(m-1)d n (f+(n-1)d)=m (f+(m-1)d) n (f+dn-d)=m (f+dm-d) fn+dn^2-dn=fm+dm^2-dm fn-fm+dn^2-dm^2=-dm+dn f(n-m)+d(n^2-m^2)=d(n-m) f(n-m)+(d(n+m)(n-m))=d(n-m) (f+d(n+m)) (n-m)=d (n-m) f+dn+dm=d

(m+n)-th term of this AP=f+(m+n-1)d =f+dm+dn-d (Substituting 'd' value got above in this equation) =f+dm+dn-(f+dn+dm) =f+dm+dn-f-dn-dm =0 So (m+n)-th term in this AP is 0

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...