the sum of 50 consecutive positive odd integers is 3800. What is the largest of these integers?

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  • 5 months ago

     The sum of 50 consecutive positive odd integers is 3800.

     What is the largest of these integers?

     x + (x + 2) + (x + 4) + ... + (x + 98) = 3800

     x = 27 

     The largest of these integers is 125.

     27, 29, 31, 33, 35, ...

     a_n = 2 n + 25  

     27 + 29 + 31 + .... + 125 = 3800

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