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Write the Word or Phrase That Best Completes Each Statement 5+10+15+…+5n=5n(n+1)25 + 10 + 15 + \ldots + 5 n = \frac { 5 n ( n + 1 ) } { 2 }

Question 153

Essay

Write the word or phrase that best completes each statement or answers the question.
Use mathematical induction to prove the following statement for all positive integers n.
- 5+10+15+…+5n=5n(n+1)25 + 10 + 15 + \ldots + 5 n = \frac { 5 n ( n + 1 ) } { 2 }

Correct Answer:

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Condition 1:For n = 1, we get 5 = 5. Thi...

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