Write the First Four Terms of the Sequence Whose General $$\mathrm { a } _ { \mathrm { n } } = \frac { ( - 1 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } + 7 }$$

question 128

Multiple Choice

Write the first four terms of the sequence whose general term is given.
- $$\mathrm { a } _ { \mathrm { n } } = \frac { ( - 1 ) ^ { \mathrm { n } + 1 } } { \mathrm { n } + 7 }$$

• A) \(\frac { 1 } { 8 } , - \frac { 1 } { 9 } , \frac { 1 } { 10 } , - \frac { 1 } { 11 }\)
• B) \(- \frac { 1 } { 8 } , \frac { 1 } { 9 } , - \frac { 1 } { 10 } , \frac { 1 } { 11 }\)
• C) \(\frac { 1 } { 8 } , - \frac { 1 } { 18 } , \frac { 1 } { 30 } , - \frac { 1 } { 44 }\)
• D) \(- \frac { 1 } { 9 } , \frac { 1 } { 10 } , - \frac { 1 } { 11 } , \frac { 1 } { 12 }\)

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Definitions:

Mantle Material

The rock and substances that make up the mantle, a thick layer between the Earth's crust and outer core.

Rising Plume

A column of hot, buoyant material within the mantle that rises due to convection, potentially leading to volcanic activity at the surface.

Subduction Zone

A region of the Earth's crust where one tectonic plate moves under another, often creating a trench and volcanic activity.

Mantle-derived

Originating or derived from the Earth's mantle, the thick layer of rock below Earth's crust and above the core.