Use the Nth-Term Test for Divergence to Show That the Series

question 1

Multiple Choice

Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive.
- $$\sum _ { n = 1 } ^ { \infty } \frac { n } { n + 2 }$$

• A) inconclusive
• B) converges, 2
• C) converges, \(\frac { 1 } { 2 }\)
• D) diverges

---

Definitions:

Semi-Annually

Occurring twice a year or every six months, typically used in relation to payments, reports, or interest accruals.

Instalment Payments

Payments made regularly over a period of time to settle a debt.

Periodic Amounts

Regularly scheduled payments or receipts over a defined period.

Interest

The cost of borrowing money or the return on investment for savings and investments, typically expressed as an annual percentage rate.