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If pth, qth and rth term of a G.P. are i...

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 A.P., show that p, q, r also are in A.P.

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) .

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 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 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 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.

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

If a, b, c are in A.P. and a,b, d are in G.P., prove that a, a-b, d-c are in G.P.

If the sums of an A.P. upto pth, qth and rth terms are a, b and c respectively, prove that- a/p(q-r)+b/q(r-p)+c/r(p-q)=0 .

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. If x, y, z,w in are in G.P., prove that (xy-wz)/(y^2-z^2)=(x+z)/y.

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  2. The pth, qth and rth term of a G.P. are x, y, z respectively, then pro...

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

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

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

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

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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 are a...

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

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

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

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

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

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

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

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

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

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

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