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The sums of n terms of two arithmetic pr...

The sums of n terms of two arithmetic progressions are in the ratio `5n+ 4 : 9n + 6`. Find the ratio of their 18th terms.

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The correct Answer is:
`179 : 321`
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If the sum of n terms of two A.P.s are in the ratio 7n + 1 : 4n + 27. Find the ratio of their 11^(th) terms.

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If the ratio of sum of m terms of an A.P. to the sum of n terms is (2m + 1) : (3n +1), find the ratio of 7th to 10th term

Soppose that all the terms of an arithmetic progression (AP) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6:11 and the seventh term lies between 130 and 140, then the common difference of this AP is

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OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. The sums of n terms of two arithmetic progressions are in the ratio 5n...

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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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