A Statement Sn About the Positive Integers Is Given $$S _ { n } : 4 + 9 + 14 + \ldots + ( 5 n - 1 ) = \frac { n ( 5 n + 3 ) } { 2 }$$

question 265

Essay

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these
statements is true.
- $$S _ { n } : 4 + 9 + 14 + \ldots + ( 5 n - 1 ) = \frac { n ( 5 n + 3 ) } { 2 }$$

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Definitions:

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in equal installments.

Salvage Value

The expected salvage value of an asset at the termination of its useful period.

Depreciated

The reduction in the value of an asset over time due to wear and tear, aging, or obsolescence.

Patent

A government-granted right that gives the holder exclusive control over the production, use, and sale of an invention for a set period.