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If (a+bx)/(a-bx)=(b +cx)/(b-cx)=(c+dx)/(...

If `(a+bx)/(a-bx)=(b +cx)/(b-cx)=(c+dx)/(c-dx) (x ne 0)`, then show that a, b, c and d are in G.P.

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PSEB-SEQUENCES AND SERIES-EXERCISE
  1. A G.P. consists of an even number of terms. If the sum of all the term...

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  2. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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  3. If (a+bx)/(a-bx)=(b +cx)/(b-cx)=(c+dx)/(c-dx) (x ne 0), then show that...

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  4. Let S be the sum, P the product and R the sum of reciprocals of n term...

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  5. The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respective...

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  6. If a(1/b+1/c), b(1/c+1/a), c(1/a+1/b) are in A.P, prove that a, b, c a...

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  7. If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n + ...

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  8. If a and b are the roots of x^2 -3x + p= 0 and c, d are roots of x^2 -...

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  9. The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...

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  10. If a, b, c are in A.P, b, c, d are in G.P. and 1/c,1/d,1/e are in A.P....

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  11. Find the sum of the following series up to n terms: .6+. 66 +. 666+...

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  12. Find the 20th term of the series 2xx4 + 4xx6 + 6xx8 +...+n terms.

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  13. Find the sum of the first n terms of the series: 3+7+13 +21 +31 +...

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  14. If S1,S2, S3 are the sum of first n natural numbers, their squares and...

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  15. Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/(1...

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  16. Show that (1xx2^2+2xx3^2+....+nxx(n+1)^2)/(1^2xx2+2^2xx3+...+n^2xx(n+1...

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  17. A farmer buys a used tractor for Rs 12000. He pays Rs 6000 cash and ag...

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  18. Shamshad Ali buys a scooterfor Rs 22000. He pays Rs 4000 cash and agre...

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  19. A person writes a letter to four of his friends. He asks each one of t...

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  20. Aman deposited Rs 10000 in a bank at the rate of 5% simple interest an...

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