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If A.M. and GM. of two positive numbe...

If A.M. and GM. of two positive numbers a and b are 10 and 8, respectively find the numbers.

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MAHAVEER PUBLICATION-SERIES-QUESTION BANK
  1. How much is going to taxes? Suppose that we track a tax refund of $ 10...

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  2. Insert two geometric means between 2 and 1024.

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  3. If A.M. and GM. of two positive numbers a and b are 10 and 8, respe...

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  4. The 12^(th) term and 15^(th) term of an AP are 68 and 86 respectively....

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  5. Find the sum: 3+7+11+…..+79.

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  6. Find k if 2k+1,k,3k+2 are in GP.

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  7. Find8^(th) term of the GP 1,4,16,…..

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  8. If x,y,z are in GP, then prove that logx,logy,logz are in AP.

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  9. If 3^(rd) term of an arithmetic progression is and term is 18 and 17^(...

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  10. The sum of the series 3+33+333+....+n terms is

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  11. Find the three terms in GP whose sum is 21 and product 64.

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  12. If a, b, c are in A.P. and x, y, z are in G.P., then prove that : x^...

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  13. If a b c are the p^(th), q^(th) and r^(th) terms of an AP then prove t...

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  14. Show that, loge2=1/(1.2)+1/(3.4)+1/(5.6)+.....infty

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  15. Show that, e^x+e^(-x)=2(1+x^2/(2!)+x^4/(4!)+....)

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  16. If, y=x-x^2/2+x^3/3-x^4/4+....oo and (|x|lt1) then x=y+y^2/(a!)+y^3/(b...

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  17. Prove that, 1/(1.2)-1/(2.3)+1/(3.4)-.....=2loge2-1

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  18. Show tha, 1+1/(2!)+1/(4!)+....=1/2(e+1/e)

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  19. Prove that, 1/(2.3)-1/(4.5)+1/(6.7)+.....=1-loge2

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  20. Prove that, 1+(1+2)/(2!)+(1+2+3)/(3!)+(1+2+3+4)/(4!)+....=(3e)/2

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