Here is a problem that I'd like someone to show me the path. Given: The difference between the squares of 2 consecutive multiples of three is 1989. Show the work for the solution.
First I made a list of the multiples of 3:................... 3, 6, 9, 12, etc...I noticed that there is a difference of 3.
Then I made a list of the squares of the multiples of 3:.. 9, 36, 81, 144, etc...I noticed that every term is divisible by 9
Then I tried to find the subtractive pairs that would give me the difference of 1989. Then I ran into the wall.
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Here is a problem that I'd like someone to show me the path. Given: The difference between the squares of 2 consecutive multiples of three is 1989. Show the work for the solution.
First I made a list of the multiples of 3:................... 3, 6, 9, 12, etc...I noticed that there is a difference of 3.
Then I made a list of the squares of the multiples of 3:.. 9, 36, 81, 144, etc...I noticed that every term is divisible by 9
Then I tried to find the subtractive pairs that would give me the difference of 1989. Then I ran into the wall.
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