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7.3 Quadratic Patterns

7.3 Quadratic Patterns
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  • Math Help

    In Example 6, the ratios of consecutive terms are not equal.

    So, the pattern is not exponential.

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  • Checkpoint Solution
    1. False, a linear increase in diameter causes a linear increase in circumference. From Example 6, a linear increase in circumference causes a quadratic increase in muscle strength. So, a linear increase in diameter causes a quadratic increase in muscle strength.
    2. True, a quadratic increase in diameter causes a quadratic increase in circumference. From Example 6, a quadratic increase in circumference causes a linear increase in muscle strength. So, a quadratic increase in diameter causes a linear increase in muscle strength.
    3. True, a linear increase in cross sectional area causes a quadratic increase in diameter. From part (b), a quadratic increase in diameter causes a linear increase in cross sectional area. So, a linear increase in cross sectional area causes a linear increase in muscle strength.
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