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Write the Word or Phrase That Best Completes Each Statement 1⋅1+2⋅1+3⋅1+…+n=n(n+1)21 \cdot 1 + 2 \cdot 1 + 3 \cdot 1 + \ldots + n = \frac { n ( n + 1 ) } { 2 }

Question 166

Essay

Write the word or phrase that best completes each statement or answers the question.
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- 1⋅1+2⋅1+3⋅1+…+n=n(n+1)21 \cdot 1 + 2 \cdot 1 + 3 \cdot 1 + \ldots + n = \frac { n ( n + 1 ) } { 2 }

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First we show that the statement is true...

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