A sum of rs700 is to be used to give seven cash prizes to students of a school for their overall academic perfoemance .if each prize us rs20 less than it's preceding price ..find the overall value of each of the prizes ?
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let p1,p2,p3...........p7 be the amount of 7 prizes respectively ..
They are in arithmetic progression with a conmon difference of 20
sum of the series is 700
so
700 = (n/2)(2a + (n-1)d)
n=7
d=20
700=(7/2)(2a + 6(20))
simplifiying,
14a =560
a=40..
So the prize amounts are
40 60 80 100 120 140 160.
They are in arithmetic progression with a conmon difference of 20
sum of the series is 700
so
700 = (n/2)(2a + (n-1)d)
n=7
d=20
700=(7/2)(2a + 6(20))
simplifiying,
14a =560
a=40..
So the prize amounts are
40 60 80 100 120 140 160.
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