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All-Russian Olympiad
1983 All Soviet Union Mathematical Olympiad
356
356
Part of
1983 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 356 All Soviet Union MO 1983 a_n last digits of [\sqrt{10}^n], periodical
Source:
7/28/2019
The sequences
a
n
a_n
a
n
and
b
n
b_n
b
n
members are the last digits of
[
10
n
]
[\sqrt{10}^n]
[
10
n
]
and
[
2
n
]
[\sqrt{2}^n]
[
2
n
]
respectively (here
[
.
.
.
]
[ ...]
[
...
]
denotes the whole part of a number). Are those sequences periodical?
Sequence
number theory
periodical
last digits
Digits
floor function