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

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

If pth, qth and rth term of an A.P. are in A.P., show that p, q, r also are in A.P.

If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then show that - a^(b-c).b^(c-a).c^(a-b)=1 .

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 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

The first, fourth and thirteenth term of an A.P. are in G.P. If the first term of the A.P. is 3, find the A.P.

The pth, qth and rth term of a G.P. are x, y, z respectively, then prove that- x^(q-r).y^(r-p).z^(p-q)=1 .

If a,b,c,d are in G.P than show that ab,ca,bc,bd are also in G.P.

The pth term of an A.P. is q and qth term is p . Show that the nth term is p+q-n .

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 .

KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The pth, qth and rth term of a G.P. are x, y, z respectively, then pro...

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

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  3. If pth, qth and rth term of an A.P. are in G.P., then show that common...

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  4. If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then...

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  5. If a, b, c, d are in G.P., show that each of the following three term ...

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  6. If a,b,c,d are in G.P show that each of the following three term are a...

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  7. If a,b,c,d are in G.P show that each of the following three term are a...

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  8. If a,b,c,d are in G.P show that each of the following three term are a...

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  9. If a, b, c, d are in G.P., show that each of the following three term ...

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  10. If a,b,c,d are in G.P show that each of the following three term are a...

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  11. If a,b,c,d are in G.P show that each of the following three term are a...

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  12. Insert three G.M.’s between 1 and 256.

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  13. Insert five G.M.'s between 8 and 1/8.

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  14. Insert five G.M.’s between 3 and 192.

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  15. Insert four G.M.'s between 7/4 and 56.

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  16. If 1/2 , x, y, z, 128 are in G.P., then find x,y,z,

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  17. Inserting three G.M.'s between 1/9 and 9 verify that their product is ...

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  18. The A.M. and G.M. of two positive numbers are 25 and 24 respectively. ...

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  19. The A.M. and G.M. of two positive numbers are 15 and 9 respectively...

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  20. The A.M. of two integral numbers exceeds their G.M. by 2 and the ratio...

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