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"If " a^(2), b^(2), c^(2)" are in A.P., ...

`"If " a^(2), b^(2), c^(2)" are in A.P., prove that "(1)/(b+c),(1)/(c+a),(1)/(a+b) " are also in A.P."`

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If a^(2),b^(2),c^(2) are in A.P.prove that (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P.

If a,b,c are in A.P,prove that (1)/(bc),(1)/(ca),(1)/(ab), is also in A.P.

If a^(2),b^(2),c^(2) are in AP then prove that (1)/(a+b),(1)/(c+b),(1)/(a+c) are also in AP.

If (b-c)^(2),(c-a)^(2),(a-b)^(2) are in A.P.then prove that (1)/(b-c),(1)/(c-a),(1)/(a-b) are also in A.P.

If a^(2),b^(2) and c^(2) are in AP then prove that (a)/(b+c),(b)/(c+a) and (c)/(a+b) are also in A.P.

If a,b,c are in G.P. then prove that (1)/(a+b),(1)/(2b),(1)/(b+c) are also in A.P.

If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in A.P."

If a^(2),b^(2),c^(2) are in A.P,show that: (a)/(b+c),(b)/(c+a),(c)/(a+b) are in A.P.

MODERN PUBLICATION-SEQUENCES AND SERIES-REVESION EXERCISE
  1. Two cars start together in the same direction from the same place. The...

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  2. The ages of the students of a class form an A.P. whose common differen...

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  3. "If " a^(2), b^(2), c^(2)" are in A.P., prove that "(1)/(b+c),(1)/(c+a...

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  4. If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P. then show that b=(2ac)/(a+c...

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  5. if the A.M. between pth and qth terms of an A.P. be equal to the A.M. ...

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  6. If a, b, c are in A.P., prove that a^(3)+4b^(3)+c^(3)=3b(a^(2)+c^(2)).

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  7. If a^2(b+c),b^2(c+a),c^2(a+b), are in A.P. show that either a ,b ,c ar...

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  8. If mth, nth and pth terms of a G.P. form three consecutive terms of a ...

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

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

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

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

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

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

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  16. 150 workers were engaged to finish a job in a certain number of days. ...

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  17. If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...

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  18. A manufacture reckons that the value of a machine which costs him Rs. ...

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  19. The sum of the series : 1+1/(1+2)+1/(1+2+3)+...... upto 10 terms is :

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

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