Use Mathematical Induction to Prove the Given Statement for All $$\sum _ { i = 1 } ^ { n } 2 i = n ( n + 1 )$$

question 212

Short Answer

Use mathematical induction to prove the given statement for all positive integers n.
- $$\sum _ { i = 1 } ^ { n } 2 i = n ( n + 1 )$$

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Definitions:

Commission Charges

Fees that are paid to an agent or company for facilitating a transaction, often calculated as a percentage of the transaction value.

Total Cost

The full amount of expenses incurred for producing or acquiring a product or service.

Commission Charges

Fees paid to an agent or company for facilitating a transaction, often a percentage of the transaction value.

Proceeds

The amount that a seller receives from the buyer of a note being discounted; the difference between the maturity value and the discount amount. In a stock transaction, the proceeds received by the seller are equal to the selling price minus the commission.