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If log(2)(5xx2^(x)+1),log(4)(2^(1-x)+1) ...

If `log_(2)(5xx2^(x)+1),log_(4)(2^(1-x)+1)` and 1 are in A.P., then x equals

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The value of sum(i=0)^oosum(j=0)^oosum(k=0)^oo1/(3^i3^j3^k) is

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  2. Let a1,a2,.........an be real numbers such that sqrt(a1)+sqrt(a2-1)+...

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  3. If log(2)(5xx2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P., then x equa...

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  4. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

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  5. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

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  6. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  7. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  8. The sum of the first three terms of a strictly increasing G.P. is alph...

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  9. If (log)3 2,(log)3(2^x-5) and (log)3(2^x-7/2) are in arithmetic progre...

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  10. If p is the first of the n arithmetic means between two numbers and q ...

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  11. If S1, S2 ,S3,.........Sn,........ are the sums of infinite geometri...

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  12. The interior angles of a polygon are in arithmetic progression. The sm...

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  13. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  14. How many geometric progressions are possible containing 27, 8 and 12 a...

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  15. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

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  16. Find the sum 1+2(1+1/50)+3(1+1/50)^(2)+…50 terms.

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  17. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

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  18. If a1, a2, an are in A.P. with common difference d!=0 , then the sum ...

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  19. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

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  20. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

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