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If A and G be A.M. and G.M., respectivel...

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are `A +- sqrt((A+G)(A-G))`.

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If A and G are the A.M. and G.M. respectively between any two distinct positive numbers a and b then show that A > G.

If A.M and G.M of two positive numbers are 13 and 12 respectively. Find the numbers.

The A.M. between two positive numbers is 34 and their G.M. is 16. find the numbers.

If one G.M., G and two A.M's p and q be inserted between two given numbers, prove that G^(2)= (2p-q) (2q-p)

If the ratio of A.M and G.M between two numbers is 5:3, then the ratio of two numbers is:

A.M. between two numbers is 10 and their G.M is 8. Find the numbers.

Find two positive numbers m and n whose AM and GM are 34 and 16 respectively.

If the A.M of two numbers is 9 and G.M is 4, then these numbers are roots of the equation:

The ratio of the.A.M. and G.M. of two positive numbers a and b is m : n. Show that a: b = (m + sqrt(m^(2)-n^(2))): (m- sqrt(m^(2)-n^(2)))

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OMEGA PUBLICATION-SEQUENCE AND SERIES -MULTIPLE CHOICE QUESTIONS MCQs
  1. If A and G be A.M. and G.M., respectively between two positive numbers...

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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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