Use mathematical induction to prove the given statement for all positive integers n.
-$$1 + 4 + 4 ^ { 2 } + 4 ^ { 3 } + \ldots + 4 ^ { n - 1 } = \frac { 4 ^ { n } - 1 } { 3 }$$

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The Answer of Use mathematical induction to prove the given statement for all positive integers n.
-$$1 + 4 + 4 ^ { 2 } + 4 ^ { 3 } + \ldots + 4 ^ { n - 1 } = \frac { 4 ^ { n } - 1 } { 3 }$$

Use Mathematical Induction to Prove the Given Statement for All 1+4+42+43+…+4n−1=4n−131 + 4 + 4 ^ { 2 } + 4 ^ { 3 } + \ldots + 4 ^ { n - 1 } = \frac { 4 ^ { n } - 1 } { 3 }1+4+42+43+…+4n−1=34n−1​

Use Mathematical Induction to Prove the Given Statement for All $1 + 4 + 4 ^ { 2 } + 4 ^ { 3 } + \ldots + 4 ^ { n - 1 } = \frac { 4 ^ { n } - 1 } { 3 }$