The number x and the real number are such that . Use mathematical induction to show that for all positive integers n > 1. Thank you
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Hello differentiate Originally Posted by differentiate The number x and the real number are such that . Use mathematical induction to show that for all positive integers n > 1. Thank you Hint: Start with: Then assume that the result is true for all values up to , and the RHS becomes , which simplifies to . Can you complete the proof? Grandad
Originally Posted by differentiate The number x and the real number are such that . Use mathematical induction to show that for all positive integers n > 1. Thank you There is also a solution without using induction... Start of solution... Let , a complex number. We will prove: If then: Using de Moivre's formula, and on . The result quickly proved...
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