Find a General Term an for the Geometric Sequence $$a _ { 1 } = - \frac { 1 } { 6 } , r = 4$$

question 126

Multiple Choice

Find a general term an for the geometric sequence.
- $$a _ { 1 } = - \frac { 1 } { 6 } , r = 4$$

• A) \(a _ { n } = - \frac { 1 } { 6 } \cdot 4 ^ { n - 1 }\)
• B) \(a _ { n } = - \frac { 1 } { 6 } + \frac { 1 } { 8 } ( n - 1 )\)
• C) \(\mathrm { a } _ { \mathrm { n } } = - \frac { 1 } { 6 } + \frac { 1 } { 4 } ( \mathrm { n } - 1 )\)
• D) \(a _ { n } = \left( - \frac { 1 } { 6 } \right) ^ { 11 - 1 } + \frac { 1 } { 8 }\)

---

Definitions:

Low Density Particles

Particles that have a lower mass per unit volume compared to other particles or mediums.

Transported

Refers to materials or objects that have been moved from their original location by natural processes, such as water, wind, or ice.

Sediment Transport

The movement of solid particles, typically due to a combination of gravity acting on the sediment, and/or the movement of the fluid in which the sediment is entrained.

Stream Bed

The bottom of a stream or creek, where water flows and sediment is deposited, shaped by the flow of water over time.