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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement ...
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- Let p1,p2,...,pn and x be distinct real number such that (sum(r=1)^(n...
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- If Sn denote the sum of first n terms of an A.P. whose first term is a...
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- If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...
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- Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...
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- If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the...
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- If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...
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- Let n in N ,n > 25. Let A ,G ,H deonote te arithmetic mean, geometric...
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- If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...
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- Three numbers form an increasing G.P. If the middle number is doubled,...
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- If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...
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- If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...
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- In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose...
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- If (p+q)t h term of a G.P. is a and its (p-q)t h term is b where a ,b ...
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- Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n...
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- The value of sum(i=0)^oosum(j=0)^oosum(k=0)^oo1/(3^i3^j3^k) is
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- Let a1,a2,.........an be real numbers such that sqrt(a1)+sqrt(a2-1)+...
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- 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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- Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...
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- If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...
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