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If A and G be the A.M and G.M respective...

If A and G be the A.M and G.M respectively between two positive numbers, prove that the numbers are `A+-sqrt((A+G)(A-G)`

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. 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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  2. The sum of two numbers is 6 times their geometric mean, show that numb...

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

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

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

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

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

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

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

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

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

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

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  13. Suppose that three numbers are in G.P If the product of the numbers is...

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  14. Suppose that three numbers are in G.P The product of three numbers be ...

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  15. Consider the G.p 3, 6, 12…Find its n^th term and sum to n terms

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  16. Consider the G.p 3, 6, 12…If the sum to n terms is 381, find n

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  17. Suppose that a, ar, ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P...

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  18. Suppose that a, ar, ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P...

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  19. Suppose the sum of the geometric series 3+6+12+…+1536 is 3069 Assuming...

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  20. Suppose the sum of the geometric series 3+6+12+…+1536 is 3069 Find the...

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