MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2018 India PRMO
19
19
Part of
2018 India PRMO
Problems
(1)
Infinite 6's
Source:
8/19/2018
Let
N
=
6
+
66
+
666
+
.
.
.
.
+
666..66
N=6+66+666+....+666..66
N
=
6
+
66
+
666
+
....
+
666..66
, where there are hundred
6
′
s
6's
6
′
s
in the last term in the sum. How many times does the digit
7
7
7
occur in the number
N
N
N
number theory