Find the Fifth Term and the Nth Term of the Geometric

question 3

Multiple Choice

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
- $$a = \sqrt { 5 } ; r = \sqrt { 5 }$$

• A) \(\mathrm { a } _ { 5 } = 25 \sqrt { 5 } , \mathrm { a } _ { \mathrm { n } } = 5 ^ { \mathrm { n } / 2 }\)
• B) \(\mathrm { a } _ { 5 } = 625 \sqrt { 5 } , \mathrm { a } _ { \mathrm { n } } = 5 ^ { \mathrm { n } - 1 / 2 }\)
• C) \(a _ { 5 } = 5 \sqrt { 5 } , a _ { n } = 5 ^ { n / 2 - 1 }\)
• D) a5 \(= 3,125 , a _ { n } = 5 ^ { n }\)