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1
Sprind Round (2012) #1
Sprind Round (2012) #1
Source:
December 3, 2012
arithmetic sequence
Problem Statement
Let
{
a
n
}
n
=
1
∞
\{a_n\}_{n=1}^\infty
{
a
n
}
n
=
1
∞
be an arithmetic progression with
a
1
>
0
a_1 > 0
a
1
>
0
and
5
⋅
a
13
=
6
⋅
a
19
5\cdot a_{13} = 6\cdot a_{19}
5
⋅
a
13
=
6
⋅
a
19
. What is the smallest integer
n
n
n
such that
a
n
<
0
a_n<0
a
n
<
0
?
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