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If pth, qth and rth term of an A.P. be a...

If pth, qth and rth term of an A.P. be a,b,c then prove that.
`a(q-r)+b(r-p)+c(p-q)=0`

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If pth, qth and rth term of a G.P. are in G.P. then prove that p, q, r are in A.P.

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If pth, qth and rth term of an A.P. are in G.P., then show that common ratio of the G.P. is (q-r)/(p-q) .

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The sum of the pth and qth term of an A.P. is one, and rth term is one. Show that the pth term is frac(q-r)(p+q-2r)

If the mth term and nth term of an A.P. are respectively n and m show that the (m + n)th term is zero and pth term is m + n-p .

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If pth, qth and rth term of an A.P. be a,b,c then prove that. a(q-r)...

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  2. Following are the nth terms of certain sequences. Determine first four...

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  3. Following are the nth terms of certain sequences. Determine first four...

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  4. Following are the nth terms of certain sequences. Determine first four...

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  5. Following are the nth terms of certain sequences. Determine first four...

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  6. Following are the nth terms of certain sequences. Determine first four...

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  7. Following are the nth terms of certain sequences. Determine first four...

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  8. Following are the nth terms of certain sequences. Determine first four...

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  9. Find the nth terms of the following sequences. 1,1/2,1/3,1/4,....

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  10. Find the nth terms of the following sequences. 1/2,2/3,3/4,4/5,…..

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  11. Find the nth terms of the following sequences. 2,4,6,8,….

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  12. Find the nth terms of the following sequences. 3,7,11,15,…..

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  13. Find the nth terms of the following sequences. 1,3,9,27,…..

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  14. Find the nth terms of the following sequences. 1/2,1/4,1/8,1/16,……

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  15. the following are the nth term of certain sequence. Determine whether ...

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  16. the following are the nth term of certain sequence. Determine whether ...

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  17. the following are the nth term of certain sequence. Determine whether ...

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  18. the following are the nth term of certain sequence. Determine whether ...

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  19. the following are the nth term of certain sequence. Determine whether ...

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  20. The following are the nth terms of certain sequences. ...

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  21. the following are the nth term of certain sequence. Determine whether ...

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