2.3 - Newton’s Forward Interpolation Formula
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Practice Questions
Test your understanding with targeted questions
What is interpolation?
💡 Hint: Think about why we need to predict values that aren't measured.
State the formula for forward difference.
💡 Hint: Consider how we calculate changes in values.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main use of Newton's Forward Interpolation?
💡 Hint: Think about the context of numerical data.
True or False: The formula is useful when the value of x is near the end of the dataset.
💡 Hint: Reflect on the section's definition of applicability.
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Challenge Problems
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Given the points (2, 3), (3, 5), (4, 7), apply Newton's Forward Interpolation to find f(2.5).
💡 Hint: Ensure to calculate each difference and use the formula stepwise.
Use data points f(1)=1, f(2)=8, f(3)=27 to estimate f(1.5).
💡 Hint: Remember, you're working with differences between points!
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