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If a,b,c are in AP and (a+2b-c)(2b+c-a)...

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

A

`(abc)/2`

B

abc

C

2abc

D

4abc.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. 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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  2. 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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  3. If a,b,c are in AP and (a+2b-c)(2b+c-a)(c+a-b)=lambdaabc, then lambda...

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

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  6. 11^3+12^3+13^3+....+20^3 is :

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

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

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  9. 11^3+12^3+13^3+....+20^3 is :

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

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

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

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

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  15. For what value of m, (a^(m+1)+b^(m+1))/(a^m+b^m) is the arithmetic mea...

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  16. If a, b, c are in G.P. and x, y are arithmetic mean of a, b and b, c r...

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  17. A student read common difference of an A.P. as -3 instead of 3 and obt...

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  18. If a1=1 and an =na(n-1), for all positive integers n ge 2, then a5 is ...

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  19. If a1, a2, ............, an are in A.P.with common difference d ne 0, ...

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  20. The arithmetic mean of first n odd natural numbers is :

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