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The 5^th, 8^th and 11^th terms of a GP a...

The `5^th`, `8^th` and `11^th` terms of a GP are p, q and s respectively. Prove that `q^2 = ps`.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Find the 20^(th) and n^(th) terms of the G.P. 5/2,5/4,5/8,…

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  2. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

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  3. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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

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

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  6. Which term of the following sequences sqrt3,3,3sqrt3,...is 729?

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  7. Which term of the following sequences 1/3,1/9,1/27,...is1/19683?

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  8. Find the sum to 20 terms of 0.15,0.015,0.0015,..

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

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  10. Find the sum to n terms of the G.P.sqrt7,sqrt21,3sqrt7…

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  11. Find the sum to n terms of the G.P. 1,-a,a^2,-a^3,...(ane-1)

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  12. Find the sum to n terms of the G.P.x^3,x^5,x^7,…(xne+-1)

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  13. Evaluate underset(K=1)overset11sum(2+3^K)

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  14. The sum of the first three terms of a GP is (39)/(10) and their produc...

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  15. How many terms of the 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 ...

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

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  18. The sum of the first two terms of a GP Is -4 and the fifth term is 4 t...

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  19. If the 4^(th),10^(th) and 16^(th) terms of a G.P. are x,y and z respec...

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

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