A Statement Sn About the Positive Integers Is Given $$S _ { n } : 3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n ( 5 n + 1 ) } { 2 }$$

question 186

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.
- $$S _ { n } : 3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n ( 5 n + 1 ) } { 2 }$$

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Definitions:

Base Year

A reference year against which economic growth, inflation, and other economic indicators are measured to assess changes over time.

A W Phillips

An economist known for the Phillips Curve, which suggests an inverse relationship between unemployment and inflation rates.

Unemployment Rate

The quota of the working-age population that is without a job and searching for one.

Rate Of Change

A measure that determines the extent to which a quantity grows or declines over a particular period of time, often expressed as a percentage.