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Suppose that a, ar, ar^2,ar^3,ar^4,ar^5 ...

Suppose that a, ar, `ar^2,ar^3,ar^4,ar^5` are the first 6 terms of a G.P Find the ratio of the sum of the first tree terms and the sum of first 6 terms

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`1/(1+r^3)`
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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Consider the G.p 3, 6, 12…Find its n^th term and sum to n terms

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

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  3. 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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  4. 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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  5. Suppose the sum of the geometric series 3+6+12+…+1536 is 3069 Assuming...

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

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  7. Find the sum of n terms of the series 7+77+777+..

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  8. Find the sum of n terms of the series 7+77+777+..........

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  9. Consider an infinite G.P with first term a and common ratio r-(-1ltrlt...

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  10. Consider an infinite G.P with first term a and common ratio r,(-1ltrlt...

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  11. If |a|lt1 and b=a+a^2+a^3+ …to oo, can we write b=a/(1-a) ?

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  12. If b = a+a^2+a^3+..... oo, lallt1.Prove that a=b/(1+b)

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  13. Assume that 3.52 denotes 3.52222. If x=3.52, find 10x and 100x

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  14. Assume that 3.52 denotes 3.52222. Express this as a rational fraction.

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  15. Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. P...

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  16. Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. P...

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  17. Suppose that a,b,c,d are in G.P with common ratio r Prove that b+c=ar...

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  18. Suppose that a,b,c,d are in G.P with common ratio r Prove that (b+c)(...

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  19. A sum of Rs. 10,000 is invested at 8% p.a. compound interest? What is ...

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  20. A sum of Rs. 10,000 is invested at 8% p.a. compound interest? How long...

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