50 to the Power of

Show that in the rightmost 504 digits of `1+50+50^2+...+50^1000`

Each digit appears a number of times divisible by 12

Difficulty level (1 very easy - 10 very hard): 5

Topics:
Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules -> Divisibility Rules by 3 and 9 Algebra -> Sequences -> Arithmetic Progression / Arithmetic Sequence Algebra -> Algebraic Techniques -> Telescoping Sums
Sources:
There are no comments yet.
Authentication required

You must log in to post a comment.

Log in