Select the Right Expression for the Following Sum and Prove $P _ { n } : 3 + 6 + 9 \ldots 3 n$

question 122

Multiple Choice

Select the right expression for the following sum and prove that your statement is true for all natural numbers n. $P _ { n } : 3 + 6 + 9 \ldots 3 n$

• A) \(\quad \frac { n ( 3 n + 1 ) } { 2 }\)
• B) \(\frac { 3 n ( n + 1 ) } { 4 }\)
• C) \(\quad \frac { n ( 3 n + 1 ) } { 4 }\)
• D) \(\frac { 3 n ( n + 1 ) } { 2 }\)
• E) none of the above

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