Use mathematical induction to prove that the statement is true for every positive integer n.
-$$4 + \frac { 4 } { 5 } + \frac { 4 } { 25 } + \ldots + \frac { 4 } { 5 ^ { n - 1 } } = 5 \left( 1 - \frac { 1 } { 5 ^ { n } } \right)$$

Question

Quizplus · Accepted Answer

The Answer of Use mathematical induction to prove that the statement is true for every positive integer n.
-$$4 + \frac { 4 } { 5 } + \frac { 4 } { 25 } + \ldots + \frac { 4 } { 5 ^ { n - 1 } } = 5 \left( 1 - \frac { 1 } { 5 ^ { n } } \right)$$

Use Mathematical Induction to Prove That the Statement Is True 4+45+425+…+45n−1=5(1−15n)4 + \frac { 4 } { 5 } + \frac { 4 } { 25 } + \ldots + \frac { 4 } { 5 ^ { n - 1 } } = 5 \left( 1 - \frac { 1 } { 5 ^ { n } } \right)4+54​+254​+…+5n−14​=5(1−5n1​)

Use Mathematical Induction to Prove That the Statement Is True $4 + \frac { 4 } { 5 } + \frac { 4 } { 25 } + \ldots + \frac { 4 } { 5 ^ { n - 1 } } = 5 \left( 1 - \frac { 1 } { 5 ^ { n } } \right)$