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 If a1,a2,a3,,a20 are A.M's between 13 and 67 , then the value of a1+a2+a3++a20 is equal to 

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a
600
b
800
c
400
d
200

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detailed solution

Correct option is B

∵a1,a2,a3,………,a20 are A.M's between 13 and 67, then 13,a1,a2,…….,a20,67 are in A.P.  We know that if a1,a2,a3,………,an are A ⋅M′  s between a and b , a1+a2+a3+………..+an=na+b2 then ∴a1+a2+a3+………..+a20=2013+672=800


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