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If b = a+a^2+a^3+..... oo, lallt1.Prov...

If `b = a+a^2+a^3+..... oo`, lal`lt1`.Prove that `a=b/(1+b)`

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Consider an infinite G.P with first term a and common ratio r,(-1ltrlt...

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

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

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

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

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

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

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

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

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

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

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  12. An investment firm claims that you can double your money every year if...

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  13. An investment firm claims that you can double your money every year if...

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  14. An investment firm claims that you can double your money every year if...

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  15. An investment firm claims that you can double your money every year if...

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  16. Anil is entitled to a monthly payment which in each month is less by o...

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  17. If A.M and G.M. of roots of a quaradratic equation are 8 and 5 respect...

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  18. Suppose a and b are two numbers whose A.M is A. Let G1 and G2 be two G...

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  19. Suppose that a and b are two positive numbers so that their difference...

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  20. Suppose that a and b are two positive numbers so that their difference...

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