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The (m+n)th and (m-n)th terms of a GP ar...

The `(m+n)th` and `(m-n)th` terms of a GP are p and q, respectively. Then, the mth term of the GP is

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If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is:

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The 4th, 7th and 10th terms of a GP. are a, b, c respectively. Show that b^2 = ac .

The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560, respectively. Find the first term and the number of terms in G.P.

If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of the first 20 terms ?

The 5th, 8th, and 11th terms of a GP are p, q and s respectively. Find relation between p,q and s.

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

If the first and the nth term of a G.P. are a and b. respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If the first and the nth terms of a GP are a and b respectively and if...

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

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

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

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

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

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

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

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

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

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

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

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  16. Determine the number n of terms of the G.P. 3,6,12, .......... so that...

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  17. Given a G.P. with a= 1,r= sqrt2. Find S20.

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  18. Given a G.P. with a= 729 and 7th term 64, determine S7.

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  19. If {an} is a G.P. and a1=4,r=5, find a6 and S6.

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  20. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

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