Write an Expression for the Nth Term of the Geometric $a _ { 1 } = 900 , r = 1.02 , n = 40$

question 334

Multiple Choice

Write an expression for the nth term of the geometric sequence.Then find the indicated term.(Round your answer to three decimal places.) $a _ { 1 } = 900 , r = 1.02 , n = 40$

• A) \(a _ { n } = 900 ( 1.02 ) ^ { n + 1 }\) , About 1948.270
• B) \(a _ { n } = ( 1.02 ) ^ { n - 1 }\) , About 1948.270
• C) \(a _ { n } = 900 ( 1.02 ) ^ { n - 1 }\) , About 1948.270
• D) \(a _ { n } = 900 ( 1.02 ) ^ { n - 1 }\) , About 1987.236
• E) \(a _ { n } = ( 1.02 ) ^ { n + 1 }\) , About 1948.270

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Definitions:

Frequency

The number of occurrences of a repeating event per unit of time, often used in the context of waves (such as sound or light) to indicate cycles per second (Hz).

Timbre

The quality of a musical note or sound that distinguishes different types of sound production, such as voices or musical instruments.

Wavelength

The distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave.

Middle Ear

The section of the ear between the eardrum and the inner ear, containing three bones that amplify sound.