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If agt0,bgt0,cgt0 be respectively the pt...

If `agt0,bgt0,cgt0` be respectively the pth, qth and rth terms of a G.P. are `a, b ,c`, prove that : `(q-r) log a+ (r -p) log b + (p -q) log c = 0`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

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  2. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

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  3. If agt0,bgt0,cgt0 be respectively the pth, qth and rth terms of a G.P....

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  4. If pth term of a G.P. is P and its qth term is Q, prove that the nth t...

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  5. The terms of a G.P. with first term ‘a’ and common ratio ‘r’ are squar...

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  6. If the first and the nth terms of a GP are a and b respectively and if...

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  7. If x, y, z are three positive numbers forming a geometric sequence, th...

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  8. The (m+n)th and (m-n)th terms of a GP are p and q, respectively. Then,...

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  9. If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c...

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  10. Evaluate sum(k=1)^11(2+ 3^k).

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  11. Evaluate : sum(i=1)^18 (2^i +3^(i-1)).

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  12. Find the sum to indicated number of terms of the geometric progression...

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  13. Find the sums of the indicated number of terms of the following geomet...

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  14. Find the sums of the indicated number of terms of the following geomet...

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  15. Find the sum to indicated number of terms of the geometric progression...

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  16. Find the sum to indicated number of terms of the geometric progression...

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  17. Find the sum to indicated number of terms of the geometric progression...

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  18. Find the sums of the indicated number of terms of the following geomet...

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  19. How many terms of G.P. 3, 3^2, 3^3, ... are needed to give the sum 120...

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  20. How many terms of a G.P. 3,3/2,3/4,......... are needed to give the su...

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