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NAGEEN PRAKASHAN-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise 4
- Prove the following by the principle of mathematical induction:\ 2....
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- Prove the following by the principle of mathematical induction:\ 7^...
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- Prove the following by the principle of mathematical induction: 7+7...
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- Prove the following by using the principle of mathematical induction ...
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- Using the principle of mathematical induction ,prove that (1+x)^ngeq(1...
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- Using binomial theorem, prove that 2^(3n)-7^n-1 is divisible by 49 , w...
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- 1+1/(1+2)+1/(1+2+3)+1/(1+2+3+n)=(2n)/(n+1)
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- If P(n)= 1. 2 .3+2. 3 .4+....+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4 then P...
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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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- 1.3+2.3^2+3.3^3+..............+n.3^n=((2n-1)3^(n+1)+3)/4
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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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- 1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3
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- 1.2+2.2^2+3.2^3+.....+n.2^n=(n-1)2^(n-1)+2
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- 1/2+1/4+1/8+1/16+.......+1/2^n=
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- Prove the following by the principle of mathematical induction:1/(2...
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- Using the principle of mathematical induction prove that 1/(1. 2. ...
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- Prove the following by using the principle of mathematical induction ...
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- Prove the following by using the principle of mathematical induction ...
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- (1+(1)/1)(1+(1)/(2))(1+(1)/(3))......(1+(1)/n) n(n+1)
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- 1^(2)+3^(2)+5^(2)+.......+(2n-1)^(2) =(n(2n-1)(2n+1))/(3)
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