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If 2/3, k ,5/8 are in A.P., find the val...

If `2/3, k ,5/8` are in A.P., find the value of `kdot`

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To find the value of \( k \) such that \( \frac{2}{3}, k, \frac{5}{8} \) are in Arithmetic Progression (A.P.), we can follow these steps: ### Step 1: Understand the property of A.P. In an A.P., the difference between consecutive terms is constant. Therefore, we can set up the equation: \[ k - \frac{2}{3} = \frac{5}{8} - k \] ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

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  2. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  3. If 2/3, k ,5/8 are in A.P., find the value of kdot

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

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  5. If a,b,c are in A.P., then show that (i) a^2(b+c), b^2(c+a), c^2(a+b) ...

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  6. If a, b, c are in A.P, then show that: b+c-a , c+a-b , a+b-c are in A....

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  7. If a, b, c are in A.P, then show that: b c-a^2, c a-b^2,a b-c^2 are i...

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  8. If (b+c)/a,(c+a)/b,(a+b)/c are in A.P. show that 1/a,1/b1/c are als...

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  9. If (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P., prove that : b c ,\ c a ,\ a...

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

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  11. Insert 3 arithmetic means between 3 and 19.

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  12. For what value of n ,\ dot(a^(n+1)+b^(n+1))/(a^n+b^n) is the arithmeti...

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  13. Between 1 and 31 are inserted m arithmetic mean so that the ratio of t...

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

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  15. Find the A.M. between: 7 and 13

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  16. Find the A.M. between: 12\ a n d-8

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  17. Find the A.M. between: (x-y)a n d\ (x+y)

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  18. Insert 4 A.M.s between 4 and 19.

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  19. Insert 7 A.M.s between 2 and 17.

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  20. Insert six A.M.s between 15 and -13.

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