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The sum of first three terms of a G.P. ...

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. The sum of the first three terms of a GP is (39)/(10) and their produc...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. If a,b,c and d are in G.P.show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+...

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  15. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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  16. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the G. ...

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  17. The sum of two numbers is 6 times their geometric mean, show that numb...

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  18. If A and G be the A.M and G.M respectively between two positive number...

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  19. The number of bacteria in a certain culture doubles every hour.If ther...

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  20. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

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