SOLUTION: form a sequence that has two arithmetic means between -2 and 58.

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Question 22134: form a sequence that has two arithmetic means between -2 and 58.
Answer by venugopalramana(3286) About Me  (Show Source):
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LET THE 2 A.M.S BE X,Y...HENCE -2,X,Y,58 ARE IN A.P.WE FIND THAT 58 IS THE FOURTH TERM OR N=4 , A=-2 AND D=?...USING TN=A+(N-1)D,WE GET....
T4=A+(4-1)D
58=-2+3D
3D=58+2=60
D=20
SO X=-2+1D=-2+20=18
Y=-2+2D=-2+2*20=38
SO THE 2 A.MS ARE 18 AND 38