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If the 4^(th),10^(th) and 16^(th) terms ...

If the `4^(th),10^(th)` and `16^(th)` terms of a G.P. are x,y and z respectively ,then prove that x,y,z are in G.P.P.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Given.a G. P. with a=729 and 7^ (th) term 64, determine S7 ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If A.M and G. M of roots of a quadratic equation are 8 and 5, respecti...

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  19. Consider the G.P. 12,8 ,16/3,…What the common ratio of the G.P?

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  20. Consider the G.P. 12,8 ,16/3,…Prove that the 6^(th) term of the G.P is...

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