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Write the Word or Phrase That Best Completes Each Statement $1 + 6 + 6 ^ { 2 } + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }$

Question 6

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.
- $1 + 6 + 6 ^ { 2 } + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }$

Correct Answer:
Verified
Condition 1:For n = 1, we get 1, we get ...
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Write the Word or Phrase That Best Completes Each Statement 1+6+62+…+6n−1=6n−151 + 6 + 6 ^ { 2 } + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }1+6+62+…+6n−1=56n−1​

Essay

Correct Answer:VerifiedCondition 1:For n = 1, we get 1, we get ...View AnswerUnlock this answer nowGet Access to more Verified Answers free of chargeView Full Answer For Free

Write the Word or Phrase That Best Completes Each Statement $1 + 6 + 6 ^ { 2 } + \ldots + 6 ^ { n - 1 } = \frac { 6 ^ { n } - 1 } { 5 }$

Correct Answer:
Verified
Condition 1:For n = 1, we get 1, we get ...
View Answer
Unlock this answer now
Get Access to more Verified Answers free of charge