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Mathematical Induction

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Use mathematical induction to prove that: 1 + 2 + 3 +...... + n = n(n + 1) / 2 for all positive integers n?

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Prove that: (square of 1) + (square of 2) + (square of 3) + (square of 4) +.....+ (square of n) = n(n...

Answer

Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Prove that for any positive integer number n, (cube of n) + 2n is divisible by 3?

Answer

Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Prove that [(3) power n] > (square of n) for n = 1, n = 2 and use the mathematical induction to prove...

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Prove that n ! > [(2) power n] for n a positive integer greater than or equal to 4?

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

What do you mean by De Moivre s Theorem?

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Use mathematical induction to prove De Moivre s Theorem: {[R (cos t + i sin t)] power n} = [(R) power...

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Prove:1 + 3 + [square of (3)] + + 3 [power (n - 1)] = [3 (power n) - 1] / 2?

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

Define mathematical induction?

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Asked on 04/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Induction

What is the general equation of mathematical induction?

Answer

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