In an ap if the first term is 22,the commondiffrence is -4 and the sum to n terms is 64 find n
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Step-by-step explanation:
a=22,d=-4,Sn=64
Sn formula=n/2(2a+(n-1)d)
so 64=n/2(44+4-4n)
=>128=48n-4n^2
=>4n^2-48n+128=0...../4
=>n^2-12n+32=0
=>n^2-4n-8n+32=0
=>n(n-4)-8(n-4)=0
=>n-4(n-8)=0
so n= 4 or 8
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