Find the Nth Term and the Indicated Term of the Arithmetic

question 35

Multiple Choice

Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are
given.
- $$\begin{array} { l l } \mathrm { a } = - 2 ; & \mathrm { d } = 3 \\\mathrm { a } _ { \mathrm { n } } = ? ; & \mathrm { a } 7 = ?\end{array}$$

• A) \(a _ { n } = - 5 + 3 n ; a _ { 7 } = 16\)
• B) \(a _ { n } = - 5 + 3 n ; a 7 = 40\)
• C) \(a _ { n } = - 2 + 3 n ; a _ { 7 } = 16\)
• D) \(a _ { n } = - 5 - 3 n ; a 7 = 16\)

---

Definitions:

Binomial Distribution

A statistical distribution that represents the chances of a value adopting one of two distinct states across a certain amount of observations.

Hypergeometric Distribution

A probability distribution used for sampling without replacement, describing scenarios with two outcomes.

Events Of Interest

Specific outcomes or occurrences within a statistical experiment that are relevant to the research question or objective.

Randomly

In a manner that occurs without a predictable pattern, enabling each member of a set to have an equal chance of selection.