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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- If xin R , the number 5^(1+x)+5^(1-x),a/2,25^x+25^-xform an AP , then ...
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- If an AP a7=9 and a1a2a7 is least , then common difference is
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- Consider an infinite geometric series with first term a and common rat...
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- The value of a^(logb(x))=(where, a=0.2,b=sqrt5), x=(1/4+1/8+1/16+........
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- If a,b,c are in HP and agtcgt0, then 1/(b-c)-1/(a-b).
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- Let the positive numbers a,b,c,d be in AP , Then abc, abd,acd,bcd are
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- If a,b,c are in HP , thn the value of (b+a)/(b-a)+(b+c)/(b-c) is
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- If x1gt0,i=1,2.....50 and x1+x2+.....x50=50 then the minimum value of ...
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- If three positive real number a,b,c are in AP with abc =4 , then the m...
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- The sum of 10 terms of the series 0.7+.77+.777+.... is
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- Find the sum of the series upto n terms 1.3.5+3.5.7+5.7.9+....
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- Find the sum of first n terms of the series 3/1^2+5/(1^2+2^2)+7/(1^2+2...
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- If the sum to infinity to the series 1+4x+7x^2+10x^3+..... is 35/16 th...
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- Consider an AP with first term a and the common difference 'd' Let Sk...
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- If p,q,r are three positive real number are in AP , then the roots of ...
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- The solution of the equation (8)^((1+[cosx absdivcos^2xabsdiv cos^3x]d...
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- If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is
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- If angt1 for all ninN,then log(a2)a1+log(a3)a2+.....+log(an)a(n-1)+log...
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- Let Sk=underset(nrarrinfty)limsum(i=0)^n1/(k+1)^i. Then sum(k=1)^nkSk...
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- If a1,a2,a3...an are in HP and f(k)=sum(r=1)^nar-ak, then a1/(f(1)),a...
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