Use Mathematical Induction to Solve for All Positive Integers N $1 + 2 + 3 + 4 + \ldots + n = ?$

question 45

Multiple Choice

Use mathematical induction to solve for all positive integers n.​ $1 + 2 + 3 + 4 + \ldots + n = ?$ ​

• A) \(\frac { n ( n + 1 ) } { 2 }\)
• B) \(\frac { ( n + 1 ) } { 2 }\)
• C) \(\frac { n } { 2 } ( 3 n + 1 )\)
• D) \(\frac { n ( n + 1 ) ( 1 n + 1 ) } { 6 }\)
• E) \(\frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 3 }\)

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