Asked by leonard
                The third,fourth and eight term of A.P form first three consecutive term of G.P.if the sum of the first ten term of A.P is 85.calculate the first term of both A.P and G.P,common ratio
            
            
        Answers
                    Answered by
            oobleck
            
    (a+3d)/(a+2d) = (a+7d)/(a+3d)
10/2 (2a+9d) = 85
solve to get
a = -5, d=3
so the AP is
-5, -2, 1, 4, 7, 10, 13, 16, 19, 22, ...
and the GP is
1, 4, 16, ...
making r=4
    
10/2 (2a+9d) = 85
solve to get
a = -5, d=3
so the AP is
-5, -2, 1, 4, 7, 10, 13, 16, 19, 22, ...
and the GP is
1, 4, 16, ...
making r=4
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