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Means - A.M/G.M/H.M

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Question

 There are n-A.M is between 7 and 85 such that (n-3) th  mean : n th mean isas11:24 then ‘n’ is

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Solution

7,A1,A2,An,85 are in A.P 

85=n+2)th term =a+(n+1)d(n+1)d=78d=78n+1

 Given that (n3)thAMnthAM=11247+(n3)d7+(n+11)d=1124168+24(n3)d=77+11nd 91=d11n-24n+7291n+1=7872-13n1105n=5525n=5


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