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Excel in math and science
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Linear Recurrence Relations
Take your recursion skills to the next level. If you've got a recurrence relation but no computer, how can you find a closed form? What about asymptotic behavior? How fast do rabbits reproduce?
Excel in math and science
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Concept Quizzes
Let \( \{x_n\} \) be the sequence \( 1, 5, 9, 13, \ldots. \)
If \( \{x_n\} \) can be defined as the recurrence relation \[ x_7 = a, \quad x_{n+1} = x_n + b, \] find the value of \( a + b. \)
Excel in math and science
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Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
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by Brilliant Staff
The sequence \(X\) is defined by \(X_1 = 2\) and \(X_n = X_{n-1} + 3\) for \(n \geq 2.\) What is the value of \(X_{10}?\)
Excel in math and science
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It's hard to learn from lectures and videos
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Our wiki is made for math and science
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A sequence \(V\) satisfies \(V_1 = 5, V_2 = 2\) and \(V_n = V_{n-1} + V_{n-2}\) for \(n \geq 2.\) What is the value of \(V_6?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
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examples, and problems from the community.
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In the sequence \( a_{n},\) if \(a_{1} = 1, a_{2}= 5\) and \(2a_{k+1} = a_{k} + a_{k+2},\) what is \(a_{10}?\)
Excel in math and science
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The sequence \(F\) is defined by \(F_1 = 1\) and \(F_n = 2F_{n-1}\) for \(n \geq 2.\) What is \(F_6?\)
Excel in math and science
Master concepts by solving fun, challenging problems.
It's hard to learn from lectures and videos
Learn more effectively through short, conceptual quizzes.
Our wiki is made for math and science
Master advanced concepts through explanations,
examples, and problems from the community.
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by Brilliant Staff