Tricky

If n is a prime number which will divide neither a,b nor a+b prove that:
an-2b-an-3b2+an-4b3......+abn-2 exceeds by 1 a multiple of n.

6 Answers

62
Lokesh Verma ·

this is a gp with common ratio -b/a!

number of terms is n-3

so it is

an-2b{1-(b/a)n-3}/(1-b/a)

Now does it make some more sense?

you have to use Fermat's Theorem....

I dont think it is in syllabus unless you want to prepare for olympiads!

24
eureka123 ·

okkkk....thanks sir.......I will not waste my time on it then.........BUT ONE COMPLAINT.......WHERE IS GRAPH OF THE DAY.?????????

62
Lokesh Verma ·

http://www.targetiit.com/iit_jee_forum/posts/daily_graph_20_01_09_1795.html

It was already put up.. and u already posted a reply there :O

24
eureka123 ·

its alread discussed,,,and u put that up on 19th............

62
Lokesh Verma ·

There were these 2 graphs on the 19th...!!!

Daily Graph 19-01-09 (bonus question!)

Daily Graph 19-01-09

1
skygirl ·

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