Determine If the Series Converges or Diverges $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt { n + 1 } } - \frac { 1 } { \sqrt { n + 2 } } \right)$$

question 5

Multiple Choice

Determine if the series converges or diverges. If the series converges, find its sum.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { \sqrt { n + 1 } } - \frac { 1 } { \sqrt { n + 2 } } \right)$$

• A) diverges
• B) converges; \(\frac { 1 } { \sqrt { 3 } }\)
• C) converges; \(\frac { 1 } { \sqrt { 2 } }\)
• D) converges; \(\frac { 1 } { \sqrt { 6 } }\)

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Refers to an outcome or condition that is disadvantageous or against the interests of a person or entity.

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A term used in accounting and finance to indicate that actual costs were lower than planned or budgeted costs.

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An accounting system that uses standard costs for products or services for the purpose of controlling costs and assessing operational performance.

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The estimated amount of labor hours required to produce a unit of product, used in budgeting and variance analysis.