In an A.P, if a=-2,d=5,Sn=568 then find n, l
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Answer: n = 16 and l = 73
Step-by-step explanation:Sn = n/2 (2a+(n-1)d)
568=n/2(2*-2+(n-1)5)
1136= -4n+5n^2 -5n
5n^2 -9n -1136=0
5n^2 -80n+71n -1136=0
5n(n-16) +71(n-16) =0
(5n+71) is rejected as n cannot be negative
So, n=16
l = An = a+(n-1)d
An= -2+(16-1)5
An= -2+75
So, l=An= 73
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