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Show that the products of the correspond...

Show that the products of the corresponding terms of the sequences `a,ar,ar^2,…ar^(n-1)` and A,AR,AR^2,….AR^(n-1)` form n G.P. and find the C.R.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Find the sum to n terms of the sequence 8,88,888,8888…

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Consider the G.P 2,1,1/2,1/4…Find its n^(th)term

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  19. Consider the G.P 2,1,1/2,1/4…Which term of the given G.P is 1/(128)

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  20. Suppose that three numbers are in G.P if in addition the sum of the nu...

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