Determine Whether the Sequence Defined By $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$

question 148

Multiple Choice

Determine whether the sequence defined by $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$ converges or diverges. If it converges, find its limit.

• A) \(\frac { 1 } { 6 }\)
• B) \(- 5\)
• C) \(- \frac { 5 } { 6 }\)
• D) Diverges

---

Definitions:

Equilibrium GDP

Equilibrium GDP is the level of output where aggregate demand matches aggregate supply, resulting in a stable economy without tendencies to change.

Multiplier

A factor that quantifies how an increase in spending leads to an increase in national income and output, typically greater than the initial amount spent.

Balanced Budget

When federal tax receipts equal federal government spending.

Constitutional Amendment

A formal change or addition proposed and ratified according to the procedures specified in a constitution, altering the document's framework or principles.