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Statement 1: 1^(99)+2^(99)++100^(99) is ...

Statement 1: `1^(99)+2^(99)++100^(99)` is divisible by 10100. Statement 2: `a^n+b^n` is divisible by `a+bifn` is odd.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  2. Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...

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  3. Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement ...

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  4. Let p1,p2,...,pn and x be distinct real number such that (sum(r=1)^(n...

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  5. If Sn denote the sum of first n terms of an A.P. whose first term is a...

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  6. If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...

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  7. Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...

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  8. 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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  9. 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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  10. Let n in N ,n > 25. Let A ,G ,H deonote te arithmetic mean, geometric...

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  12. Three numbers form an increasing G.P. If the middle number is doubled,...

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  13. If S1,S2, S3, Sm are the sums of n terms of m A.P. ' s whose first ter...

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  14. If S1,S2 and S3 be respectively the sum of n, 2n and 3n terms of a G.P...

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  15. In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose...

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  16. 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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  17. Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n...

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  18. The value of sum(i=0)^oosum(j=0)^oosum(k=0)^oo1/(3^i3^j3^k) is

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

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  20. 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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