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Let $a_1, a_2, a_3,\dots$ be an increasing arithmetic sequence of integers. If $a_4a_5 a_6 = 6$, what is $a_3a_7$?

 Sep 17, 2023
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Let $a_1, a_2, a_3,\dots$ be an increasing arithmetic sequence of integers. If $a_4a_5 a_6 = 6$, what is $a_3a_7$?      

 

Do you mean a4 + a5 + a6 = 6 ?    

 

If so, I think that would be 1 + 2 + 3 = 6    

 

which would make a3 = 0 and a7 = 4     

 

if I understand the problem correctly.   

.

 Sep 17, 2023

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