Find the Fifth Term and the Nth Term of the Geometric

question 2

Multiple Choice

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
- $$\mathrm { a } = 2 ; \mathrm { r } = 3$$

• A) \(a _ { 5 } = 162 ; a _ { n } = 2 \cdot ( 3 ) ^ { n - 1 }\)
• B) \(\mathrm { a } _ { 5 } = 486 ; \mathrm { a } _ { \mathrm { n } } = 2 \cdot ( 3 ) ^ { \mathrm { n } }\)
• C) \(a _ { 5 } = 162 ; a _ { n } = 2 \cdot ( 3 ) ^ { n }\)
• D) \(a _ { 5 } = 486 ; a _ { n } = 2 \cdot ( 3 ) ^ { n - 1 }\)

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