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Write the Word or Phrase That Best Completes Each Statement 3+34+316++34n1=4(114n)3 + \frac { 3 } { 4 } + \frac { 3 } { 16 } + \ldots + \frac { 3 } { 4 ^ { n - 1 } } = 4 \left( 1 - \frac { 1 } { 4 ^ { n } } \right)

question 258

Essay

Write the word or phrase that best completes each statement or answers the question. Use mathematical induction to prove that the statement is true for every positive integer n.
- 3+34+316++34n1=4(114n)3 + \frac { 3 } { 4 } + \frac { 3 } { 16 } + \ldots + \frac { 3 } { 4 ^ { n - 1 } } = 4 \left( 1 - \frac { 1 } { 4 ^ { n } } \right)


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