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MAHAVEER PUBLICATION-SERIES-QUESTION BANK
- Find the sum: 3+7+11+…..+79.
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- Find k if 2k+1,k,3k+2 are in GP.
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- Find8^(th) term of the GP 1,4,16,…..
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- If x,y,z are in GP, then prove that logx,logy,logz are in AP.
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- If 3^(rd) term of an arithmetic progression is and term is 18 and 17^(...
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- The sum of the series 3+33+333+....+n terms is
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- Find the three terms in GP whose sum is 21 and product 64.
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- If a, b, c are in A.P. and x, y, z are in G.P., then prove that : x^...
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- If a b c are the p^(th), q^(th) and r^(th) terms of an AP then prove t...
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- Show that, loge2=1/(1.2)+1/(3.4)+1/(5.6)+.....infty
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- Show that, e^x+e^(-x)=2(1+x^2/(2!)+x^4/(4!)+....)
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- 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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- Prove that, 1/(1.2)-1/(2.3)+1/(3.4)-.....=2loge2-1
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- Show tha, 1+1/(2!)+1/(4!)+....=1/2(e+1/e)
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- Prove that, 1/(2.3)-1/(4.5)+1/(6.7)+.....=1-loge2
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- Prove that, 1+(1+2)/(2!)+(1+2+3)/(3!)+(1+2+3+4)/(4!)+....=(3e)/2
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- Find the sum of odd integers from 1 to 2001.
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- Find 11^(th) term in 09,17,25,33,…..
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- How many terms of the A.P. -6,-(11)/(2),-5… are needed to give the sum...
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- How many terms of the series : 93+90+87+84+….. Will amount to 975 ?
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