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For what value of x, the numbers -2/7,x....

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

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Which term of the following sequences 1/3,1/9,1/27,...is1/19683?

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the sum of the products of the corresponding terms of the sequenc...

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  16. Show that the products of the corresponding terms of the sequences a,a...

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  17. Find four numbers forming a G.P. in which the third term is greater th...

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  18. If the p^th,q^th and r^th terms of a GP are a,b,c respectively, show t...

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  19. If the first and the n^(th)terms of a G.P. are a and b respectively an...

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  20. Show that the ratio of the sum of first n terms of a G.P.to the sum of...

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