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Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1975 Swedish Mathematical Competition
2
2
Part of
1975 Swedish Mathematical Competition
Problems
(1)
fractional part of = (3+\sqrt{5} )^n >0.99
Source: 1975 Swedish Mathematical Competition p2
3/26/2021
Is there a positive integer
n
n
n
such that the fractional part of
(
3
+
5
)
n
>
0.99
?
\left(3+\sqrt{5}\right)^n >0.99 ?
(
3
+
5
)
n
>
0.99
?
floor function
algebra