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


A) n(n+1) 2\frac { n ( n + 1 ) } { 2 }
B) (n+1) 2\frac { ( n + 1 ) } { 2 }
C) n2(3n+1) \frac { n } { 2 } ( 3 n + 1 )
D) n(n+1) (1n+1) 6\frac { n ( n + 1 ) ( 1 n + 1 ) } { 6 }
E) n2(n+1) 23\frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 3 }

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