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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- Find the value of (32).(32)^(1//6).(32)^(1//36) ......... oo.
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- Find the sum of the series 1^2+3^2+5^2+ ton terms.
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- If S=1/(1xx3xx5)+1/(3xx5xx7)+1/(5xx7xx9)+ddot to infinity, then find t...
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- If the sum of the roots of the quadratic equation a x^2+b x+c=0 is equ...
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- Let Tr denote the rth term of a G.P. for r=1,2,3, If for some positive...
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- Prove that (b^2+c^2)/(b+c)+(c^2+a^2)/(c+a)+(a^2+b^2)/(a+b)> a+b+c
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- If y z+z x+x y=12 , and x , y , z are positive values, find the great...
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- If S=a1+a2+......+an,ai in R^+ for i=1 to n, then prove that S/(S-a1)...
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- If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+...+2^(n m-m)> n^(1-m)...
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- If a ,b >0 such that a^3+b^3=2, then show that a+blt=2.
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- Prove that 2^n >1+nsqrt(2^(n-1)),AAn >2 where n is a positive integer.
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- In a triangle A B C prove that a/(a+c)+b/(c+a)+c/(a+b)<2
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- Find the least value of secA+secB+secC in an acute angled triangle.
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- Prove that [(n+1)//2]^n >(n !)dot
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- If a1+a2+a3+......+an=1 AA ai > 0, i=1,2,3,......,n, then find the ma...
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- If a ,b ,c are positive, then prove that a//(b+c)+b//(c+a)+c//(a+b)geq...
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- If (log)(10)(x^3+y^3)-(log)(10)(x^2+y^2-x y)lt=2, and x ,y are positiv...
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- If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...
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- If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.
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- If a ,b , a n dc are distinct positive real numbers such that a+b+c=1,...
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