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Suppose 1/(a+b),1/(2b),1/(b+c) are three...

Suppose `1/(a+b),1/(2b),1/(b+c)` are three consecutive terms of an AP. Prove that a,b,c are the consecutive terms of a G.P.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Assume that 3.52 denotes 3.52222. Express this as a rational fraction.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the sum to n terms of the series. 1xx2+2xx3+3xx4+4xx5+............

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  18. Find the sum to n terms of the series 1xx2xx3+2xx3xx4+3xx4xx5+.........

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  19. Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+……..

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  20. Find the sum to n terms of this series. 1/(1xx2)+1/(2xx3)+1/(3xx4)+....

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