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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement...
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- Find the nth term of the AP 8, 3, -2, -7, -12,....
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- The sum of three consecutiveterms of an AP is 21, and the sum of the s...
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- Let a1 , a2 , a3,.... be terms of an A.P. if (a1 + a2 +....+ ap)/(a1 +...
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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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- Find the sum of odd intergers from 1 to 201.
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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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- There are 4n + 1 terms in a sequence of which first 2n + 1 are in Arit...
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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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- Evaluate, sum(i = 0)^iinfty sum(j = 0)^infty sum(k = 0)^infty 1/(3^i c...
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- The first trem of a GP is -3 and the square of the second term is equa...
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- If log(2)(5.2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P,then x equals
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- Find the geometric series whose 5th and 8th terms are 80 and 640 respe...
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- 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...
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