How many teams of ap 9,17,25, ... Must be taken to give a sum of 450
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hi there,
a=9, d=8, s=450
s=n/2[2*a+(n-1)* d]
450=n/2[2*9+(n-1) *8]
450=n/2(18+8n-8)
450=n/2(10+8n)
450=5n+4n^2
4n^2+5n-450=0
4n^2-40n+45n-450=0
4n(n-10) +45(n-10) =0
(4n+45)(n-10) =0
n=-45/4 or n=10
therefore the no. of team in AP is 10
a=9, d=8, s=450
s=n/2[2*a+(n-1)* d]
450=n/2[2*9+(n-1) *8]
450=n/2(18+8n-8)
450=n/2(10+8n)
450=5n+4n^2
4n^2+5n-450=0
4n^2-40n+45n-450=0
4n(n-10) +45(n-10) =0
(4n+45)(n-10) =0
n=-45/4 or n=10
therefore the no. of team in AP is 10
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