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A sequence is given 5,20/7, 80/49,……… Fi...

A sequence is given `5,20/7, 80/49`,……… Find the Common Ratio of the given sequence

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The correct Answer is:
`35/3`
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We are given two G.P.'s, one with the first term 'a' and common ratio ‘r’ and the other with first term ‘b’ and common ratio ‘s’. Show that the sequence formed by the product of corresponding terms is a G.P. Find its first term and the common ratio. Show also that the sequence formed by the quotient of corresponding terms is G.P. Find its first term and common ratio.

OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. A sequence is given 5,20/7, 80/49,……… Find the Common Ratio of the giv...

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  2. If a, b, c, d, e,f are in A.P., then e - c is equal to

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  3. The fourth term of an A.P. is 4. Then the sum of the first 7 terms is:

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  4. The two geometric means between 1 and 64 are

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  5. If second term of a GP. is 2 and the sum of its infinte terms is 8, th...

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  6. If A.M. between two numbers is 5 and their G.M is 4, then their H.M is...

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  7. The following consecutive terms 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x)) ...

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  8. 1/(1.2) -1/(2.3) + 1/(3.4) - 1/(4.5) + …….. Is:

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  9. If the pth,term of an A.P. is q and the qth is p, then the rth term is

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  10. cos x = b. For what value of b do the roots of the equation form an A....

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  11. In a certain AP, 5 times the 5th term is equal to 8 times the 8th term...

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  12. If the first term of an A.P. is 2 and common difference is 4, then sum...

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  13. The product (32), (32)^(1//6) (32)^(1//36)…..infty is equal to:

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  14. If the first two terms of harmonic progression be 1/2, 1/4 then the ha...

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  15. A G.P consists of an even number of terms. If Sum of all terms of a G....

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  16. Three numbers a,b and c are in A.P if:

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  17. If the third term of an A.P is 12 and the seventh term is 24, then the...

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