Use the Integral Test to Determine Whether the Series Is $\frac { 3 } { 17 } + \frac { 3 } { 26 } + \frac { 3 } { 37 } + \frac { 3 } { 50 } + \frac { 3 } { 65 } + \cdots$

question 46

Short Answer

Use the Integral Test to determine whether the series is convergent or divergent. $\frac { 3 } { 17 } + \frac { 3 } { 26 } + \frac { 3 } { 37 } + \frac { 3 } { 50 } + \frac { 3 } { 65 } + \cdots$

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Definitions:

Surplus

The situation in which the quantity supplied of a good exceeds the quantity demanded, often due to a price being set above the equilibrium level.

Shortage

A market condition where the demand for a product exceeds its supply, often leading to price increases.

Equilibrium Quantity

The amount of products or services available that matches the amount desired at the market's equilibrium price.

Equilibrium Price

The price at which the quantity of a good or service supplied equals the quantity demanded in a market.