Asked by Prince
The sums of n terms of two arithmetic series are in ratio of 2n+1:2n-1. Find the ratio of their 10th terms.
Answers
Answered by
Steve
Let n=19. Then we have
a1+a19 = a1+a1+18d = 2(a1+9d) = 2a10
b1+b19 = 2b10
Now, using the sum ratio,
(a1+a19)/(b1+b19) = a10/b10 = (2*19+1)/(2*19-1) = 39/37
a1+a19 = a1+a1+18d = 2(a1+9d) = 2a10
b1+b19 = 2b10
Now, using the sum ratio,
(a1+a19)/(b1+b19) = a10/b10 = (2*19+1)/(2*19-1) = 39/37
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