A sum of $ 700 is to be used to give seven cash prizes to the students of a school for their overall academic performances, If each prize is $ 20 less than its preceding prize, find the value of each of the prizes.
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A sum of $ 700 is to be used to give seven cash prizes to the students of a school for their overall academic performances, If each prize is $ 20 less than its preceding prize, find the value of each of the prizes.
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Step-by-step explanation:
Sn=700, d=20, n=7, a=?
Sn=n/2(2a+(n-1) d)
700=7/2(2a+(7-1) 20)
1400=14a+840
560=14a
a=40
So the prizes are 40$,60$,80$,100$,
120$,140$,160$