AI Topic 1 Review

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What is percent error and how is it calculated?

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Percent error is a measure of how inaccurate a measurement is, compared to the true value. It is calculated using the formula: Percent Error = |(Measured Value - Actual Value)| / Actual Value * 100%.

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How do you find the zeros of a function using a calculator?

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To find the zeros of a function using a calculator, input the function into the calculator, then use the 'zero' or 'root' function to find the x-values where the function equals zero.

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What is the process for rounding a number to a specific number of significant figures?

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To round a number to a specific number of significant figures, identify the first non-zero digit and count the required number of significant figures from there. Round up if the next digit is 5 or greater.

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What defines a geometric sequence?

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A geometric sequence is defined by a constant ratio between consecutive terms. Each term can be found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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How do you determine the common ratio in a geometric sequence?

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The common ratio in a geometric sequence can be determined by dividing any term by the previous term (e.g., r = a_n / a_(n-1)).

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.

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How do you find the general term of an arithmetic sequence?

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The general term U_n of an arithmetic sequence can be found using the formula: U_n = U_1 + (n-1)d, where U_1 is the first term and d is the common difference.

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What is the formula for calculating the nth term of a geometric sequence?

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The nth term of a geometric sequence can be calculated using the formula: U_n = U_1 * r^(n-1), where U_1 is the first term and r is the common ratio.

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What is the significance of significant figures in measurements?

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Significant figures indicate the precision of a measurement. They reflect the certainty of the measurement and help convey the accuracy of the data.

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How do you identify the first term and common difference in an arithmetic sequence?

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The first term is the initial value of the sequence, and the common difference is found by subtracting any term from the subsequent term (e.g., d = U_(n+1) - U_n).