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The sum of four positive integers that form an arithmetic sequence is 46. Of all such possible sequences, what is the greatest possible third term?

 Sep 25, 2022
 #1
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HELP PLS HELP

 Sep 25, 2022
 #2
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Your sequence should be:

 

10,  11,  12,  13 ==46

 

So: 12 would be the largest 3rd term poisitive integer.

 Sep 26, 2022
 #3
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I think we can do a bit better than that:

 

1,  8,  15,  22 =46

 

So, 15 would be the largest positive 3rd term.

Guest Sep 26, 2022
edited by Guest  Sep 26, 2022

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