Find the Sum of the Series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ^ { n } }$

question 162

Short Answer

Find the sum of the series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 2 } } { 3 ^ { n } }$ .

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Definitions:

Operating Profit

The income generated by a company's main business activities, not including interest and tax deductions.

Markdown

A reduction from the original or previous selling price of goods or services.

Breakeven

The juncture where total expenses match total income, leading to neither a net profit nor a loss.

Mark-up

A financial addition to the product's cost to cater to company overheads and profit gain.