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If p, q, r are in G.P. and the equation...

If p, q, r are in G.P. and the equations, `p x^2+2q x+r=0`and `dx^2+2e x+f=0`have a common root, then show that `d/p`,`e/q`,`f/r`are in A.P.

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MODERN PUBLICATION-SEQUENCES AND SERIES-REVESION EXERCISE
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  2. If x,y,z are in G.P and a^x=b^y=c^z,then

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  3. We are given two G.P's one with the first term a and common ratio r an...

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  4. if sn, denotes the sum of n terms of a GP whose first term and common ...

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  5. If p, q, r are in G.P. and the equations, p x^2+2q x+r=0and dx^2+2e x...

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  6. If S(n) denotes the sum of n terms of a G.P., prove that: (S(10)-S(20)...

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  7. The sum of the first thre consecutive terms of G.P is 13 and the sum o...

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  8. If 1/(a+b)+1/(b+c)=1/b, prove that a,b,c are in G.P.

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  9. 150 workers were engaged to finish a job in a certain number of days. ...

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  13. Find the sum of the series: 1. n+2.(n-1)+3.(n-2)++(n-1). 2+n .1.

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  14. Obtain the sum of the series 1/4+1/16+1/64……………….to oo

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  17. A man deposited Rs 10000 in a bank at the rate of 5% simple interes...

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  18. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  19. if S is the sum , P the product and R the sum of reciprocals of n term...

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