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MODERN PUBLICATION-MATHEMATICAL INDUCTION-Revision Exercise
- Prove, by Induction, that 2^(n)ltn!for all nge4
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- The number of all possible subsets of a set containing n elements ?
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- Let P(n) denote the statement: 2^(n)ge n!.Show that P(1),P(2),P(3) are...
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- Prove the following by using the principle of mathematical induction ...
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- Using mathematical induction prove that x+4x+7x+......+(3n-2)x=(1)/(2)...
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- Prove by PMI that 1.2+ 2.3+3.4+....+ n(n+1) =((n)(n+1)(n+2))/3, AA n i...
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- 1. 2 .3+2. 3 .4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4
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- Prove the following by the principle of mathematical induction: 7+7...
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- Prove by the principle of mathematical induction, that 1.1!+2.2!+3.3...
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- Prove that for n in N ,10^n+3. 4^(n+2)+5 is divisible by 9 .
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- By Mathematical Induction, prove the following: (i) (4^(n) + 15n - 1) ...
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- For all positive integer n , prove that (n^7)/7+(n^5)/5+2/3n^3-n/(105)...
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- Let U1=1,\ U2=1\ a n d\ U(n+2)=U(n+1)+Unfor\ ngeq1. use mathematical i...
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- Using the principle of Mathematical Induction, prove that forall nin N...
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