a sum of rs 1400 is to be used to give 7 cash prizes two students of a school for their overall academic performance if each price is rupees 40 more than the preceding price find the value of each prise
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Answered by
10
HEY DEAR ... ✌️
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consider the series as an AP series
where
first element = a
common difference(d)=-20
no of elements(n) =7
sum of all elements(s)= 700
s=n/2 (2a+(n-1)d)
700=7/2 (2a+(7-1)(-20))
200=2a-120
320=2a
a=160
hence the series will be
160,140,120,100,80,60,40
_____________________
HOPE , IT HELPS ...
_____________________
_____________________
consider the series as an AP series
where
first element = a
common difference(d)=-20
no of elements(n) =7
sum of all elements(s)= 700
s=n/2 (2a+(n-1)d)
700=7/2 (2a+(7-1)(-20))
200=2a-120
320=2a
a=160
hence the series will be
160,140,120,100,80,60,40
_____________________
HOPE , IT HELPS ...
bkthanalpe3ufp:
common difference is 40 look carefuly
Answered by
5
Answer:
prizes: Rs 80,120,160,200, 240, 280 and 320
Step-by-step explanation:
sum of 7 terms = 1400
d (common difference)= rs 40
1400= 7(2a + 6d)/2
200=a +3d (d=40)
a= 200-120
So, a=Rs 80
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