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2
a_3+a_5=? if 1 a_2 a_3... a_n = n^2 - Puerto Rico TST 2010.2
a_3+a_5=? if 1 a_2 a_3... a_n = n^2 - Puerto Rico TST 2010.2
Source:
September 14, 2021
algebra
Problem Statement
There is the sequence of numbers
1
,
a
2
,
a
3
,
.
.
.
1, a_2, a_3, ...
1
,
a
2
,
a
3
,
...
such that satisfies
1
⋅
a
2
⋅
a
3
⋅
.
.
.
⋅
a
n
=
n
2
1 \cdot a_2 \cdot a_3 \cdot ... \cdot a_n = n^2
1
⋅
a
2
⋅
a
3
⋅
...
⋅
a
n
=
n
2
, for every integer
n
>
2
n> 2
n
>
2
. Determine the value of
a
3
+
a
5
a_3 + a_5
a
3
+
a
5
.
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