If the fourth term in a geometric sequence is –1 and the common ratio is –1, find the explicit formula of the sequence.

If the fourth term in a geometric sequence is –1 and the common ratio is –1, the explicit formula of the sequence is an = (1) (–1)n – 1 for n 1.

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Asked 7/17/2019 7:08:02 PM

Updated 2/13/2023 8:06:13 AM

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If the fourth term in a geometric sequence is –1 and the common ratio is –1, the explicit formula of the sequence is an = (1) (–1)n – 1 for n 1.

Added 2/13/2023 8:06:13 AM

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A travel trailer is bought at the price of $35,000. The price decreases at the rate of .25 every year (t). The exponential expression is 35,000(.75)t. Find the price of the travel trailer at 5 years.

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Updated 12/9/2020 4:42:53 PM

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A travel trailer is bought at the price of $35,000. The price decreases at the rate of .25 every year (t). The exponential expression is 35,000(.75)t. The price of the travel trailer at 5 years is $8,305.66.

1st yr: 35,000 * .25 = 8,750; 35,000 - 8,750 = 26,250

2nd yr: 26,250 * .25 = 6,562.5; 26,250 - 6,562.5 = 19,687.5

3rd yr: 19,687.5 * .25 = 4,921.88; 19,687.5 - 4,921.88 = 14,765.62

4th yr: 14,765.62 * .25 = 3,691.41; 14,765.62 - 3,691.41 = 11,074.21

5th yr: 11,074.21 * .25 = 2,768.55; 11,074.21 - 2,768.55 = $8,305.66

1st yr: 35,000 * .25 = 8,750; 35,000 - 8,750 = 26,250

2nd yr: 26,250 * .25 = 6,562.5; 26,250 - 6,562.5 = 19,687.5

3rd yr: 19,687.5 * .25 = 4,921.88; 19,687.5 - 4,921.88 = 14,765.62

4th yr: 14,765.62 * .25 = 3,691.41; 14,765.62 - 3,691.41 = 11,074.21

5th yr: 11,074.21 * .25 = 2,768.55; 11,074.21 - 2,768.55 = $8,305.66

Added 12/9/2020 4:42:53 PM

This answer has been confirmed as correct and helpful.

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