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The 5^(th), 8^(th) and 11^(th) terms of ...

The `5^(th), 8^(th) and 11^(th)` terms of a G.P are p,q and s , respectively . Show that `q^2 =ps`.

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pq
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Exercise: 9.3
  1. Find the 20th and nth term of the GP. 5/2, 5/4, 5/8………

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  2. Find the 12th term of a G.P. whose 8th term is 192, and the common rat...

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  3. The 5^(th), 8^(th) and 11^(th) terms of a G.P are p,q and s , respecti...

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  4. The 4^(th) term of a G.P. is square of its second term, and the first...

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  5. Which term of the following sequences: 2, 2 sqrt2, 4…..is 128?

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  6. Which term of the following sequences: sqrt3, 3, 3 sqrt3,…. Is 729?

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  7. Which term of the following sequences: (1)/(3), (1)/(9), (1)/(27),…....

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  8. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

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  9. Find the sum to indicated number of terms in each of the geometric pro...

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  10. Find the sum to indicated number of terms in each of the geometric pro...

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  11. Find the sum to indicated number of terms in each of the geometric pro...

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  12. Find the sum to indicated number of terms in each of the geometric pro...

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  13. Evaluate underset(k=1)overset(11)Sigma (2 + 3^(k))

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  14. The sum of first three terms of a G.P. is (39)/(10) and their product ...

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

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  16. The sum of first three terms of a G.P. is 16 and the sum of the next t...

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  17. Given a G.P. with a = 729 and 7^("th") term 64, determine S7 .

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  18. Find a G.P. for which sum of the first two terms is – 4 and the fifth ...

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

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  20. Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

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