Andrew bought a new computer for $2,100. The value of the computer decreases by 30% annually. Let y represent the value of the computer after x years. Which type of sequence does the situation represent?

The situation represents an arithmetic sequence because the successive y-values have a common difference of 0.3.

The situation represents an arithmetic sequence because the successive y-values have a common difference of 30.

The situation represents a geometric sequence because the successive y-values have a common ratio of 0.3.

The situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.

Hi there! I just answered this question and the situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.

Step-by-step explanation:

Every year, the value of the computer decreases by 30%.

The value of the computer is originally $2,100. Determine the value of the computer after one year by subtracting 30% of the original value.

2,100 - 0.30(2,100) = 2,100 - 360 = 1,470

The cost of the computer after one year will be $1,470 and the original cost was $2,100. Find the ratio of these two values.

1,470/2,100 = 0.7!

Therefore, after one year, the value of the computer is 0.7 times the value of the computer the previous year. Since the value is decreasing 30% annually, this trend will continue each year.

So, the situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.!

Hope this helps I was confused too!

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