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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