Which One of the Following Series Diverges?
A) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 } { \pi } \right) ^ { n }$

question 62

Multiple Choice

Which one of the following series diverges?

• A) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 } { \pi } \right) ^ { n }\)
• B) \(\sum _ { n = 2 } ^ { \infty } \frac { 1 } { \sqrt { n ^ { 3 } + 1 } }\)
• C) \(\sum _ { n = 4 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { \ln n }\)
• D) \(\sum _ { n = 2 } ^ { \infty } \frac { 3 } { n \ln n }\)
• E) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { n } - \frac { 1 } { n + 1 } \right)\)
• F) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 } { e } \right) ^ { n }\)
• G) \(\sum _ { n = 1 } ^ { \infty } \frac { 3 } { n ^ { 2 } \ln n }\)
• H) \(\sum _ { n = 1 } ^ { \infty } 3 n ^ { - 3 / 2 }\)

---

Definitions:

Actual Direct Labor Cost

Actual direct labor cost is the total amount of money paid for the wages of laborers directly involved in the production of goods or services.

Labor Efficiency Variance

The difference between the actual hours worked and the standard hours allowed, multiplied by the standard labor rate, indicating efficiency in labor usage.

Direct Labor Standards

The predetermined amount of labor time and cost that it should ideally take to produce one unit of a product, used for budgeting and performance evaluation.

Actual Direct Labor Cost

The total expense incurred from the wages and associated benefits of workers directly involved in the manufacturing of a product.