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2

Part of 2010 Puerto Rico Team Selection Test

Problems(2)

a_3+a_5=? if 1 a_2 a_3... a_n = n^2 - Puerto Rico TST 2010.2

Source:

9/14/2021
There is the sequence of numbers 1,a2,a3,...1, a_2, a_3, ... such that satisfies 1⋅a2⋅a3⋅...⋅an=n21 \cdot a_2 \cdot a_3 \cdot ... \cdot a_n = n^2, for every integer n>2n> 2. Determine the value of a3+a5a_3 + a_5.
algebra
two 3-digit numbers wanted Puerto Rico Ibero TST 2010.2

Source:

9/16/2021
Find two three-digit numbers xx and yy such that the sum of all other three digit numbers is equal to 600x600x.
number theoryDigits