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If the pth , qth , rth , terms of a GP ....

If the pth , qth , rth , terms of a GP . Are x,y,z respectively prove that : `x^(q-r).y^(r-p).z^(p-q)=1`

A

0

B

1

C

pqr

D

lmn.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. The third term of a GP is 3. What is the product of the first five ter...

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  2. 5th term of a G.P. is 2, then the product of first 9 terms is:

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  3. If the pth , qth , rth , terms of a GP . Are x,y,z respectively prove ...

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  4. The sum of the first n odd number is :

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  5. If the sum of n natural numbers is one sixth of their squares, then n ...

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  6. The sum of the numbers 1, 4, 9, 16, ... , 100 is :

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  7. If p, q, r are in A.P. while x, y, z are in G.P., prove that x^(q-r).y...

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  8. If a^x=b^y=c^z and a, b, c are in G.P. then x,y,z are in :

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  9. If a,b,c are in AP and (a+2b-c)(2b+c-a)(c+a-b)=lambdaabc, then lambda...

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  10. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

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  11. Sum of the series 1^(2) + 3^(2) + 5^(2) + … + n^(2) is :

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  12. 11^3+12^3+13^3+....+20^3 is :

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  13. If the 10th term of a G.P. is 9 and 4th term is 4, then its 7th term i...

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  14. The 6th term of a G.P. is 32 and its 8th term is 128, then the value o...

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  15. 11^3+12^3+13^3+....+20^3 is :

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  16. A boy goes to school from his home at a speed of x km/hr. and comes ba...

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  17. If a,a(1),a(2),a(3),"......",a(2n)b are in AP and a,b(1),b(2),b(3),".....

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  18. The sum of the products of the ten numbers pm1,pm2,pm3,pm4,pm5 takung ...

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  19. Find the value of the expression sum(i=1)^(n)sum(j=1)^(i)sum(k=1)^(j)1...

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  20. If x is a positive number different from 1, such that logax,logbx and ...

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