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If a ,b ,c are in G.P. and a-b ,c-a ,a n...

If `a ,b ,c` are in G.P. and `a-b ,c-a ,a n db-c` are in H.P., then prove that `a+4b+c` is equal to 0.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  13. A G.P. consists of an even number of terms. If the sum of all the t...

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  14. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a ...

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  16. Which term of the G.P. 2,1, 1/2,1/4, i s1/(128)?

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  19. The first and second terms of a G.P. are x^4a n dx^n , respectively. I...

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  20. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0), then show t...

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