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solve this in an arithmetic progression: total prize money of $480 is to be divided among 8 contestants so that the lowest will receive $10 and each other a fixed amount more than the preceding person. what prize money goes to the leader

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Jers15id
Arithmetic series formula is
1/2(n)(a1+an) the n is 8, and the sum is already given which is 480

Substitute
[tex]480=\frac{1}{2}(8)(10+a8)[/tex]
Divide both sies by 1/2
960=80+8a8
Subtract 80 to both sides
880=8a8
Divide both sides by 8
a=110

The leader will get $110. Hope this helps =)