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1979 IMO Shortlist
19
19
Part of
1979 IMO Shortlist
Problems
(1)
Find the smallest integer m for which b_m > a_{100}.
Source:
9/15/2010
Consider the sequences
(
a
n
)
,
(
b
n
)
(a_n), (b_n)
(
a
n
)
,
(
b
n
)
defined by a_1=3, b_1=100 , a_{n+1}=3^{a_n} , b_{n+1}=100^{b_n} Find the smallest integer
m
m
m
for which
b
m
>
a
100
.
b_m > a_{100}.
b
m
>
a
100
.
number theory
Sequences
recurrence relation
Inequality
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