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Excel in math and science
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Discrete Mathematics
Linear Recurrence Relations
Excel in math and science
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Concept Quizzes
The sequence \( \{x_n\} \) satisfies the relation \[ \begin{array} &x_1 = 5,&x_{n+1} = x_n + 5 &(n = 1, 2, 3, \ldots). \end{array} \] What is the value of \( x_{20}? \)
Excel in math and science
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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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by Brilliant Staff
The sequence \( \{x_n\} \) satisfies the relation \[ \begin{array} &x_1 = 2, &x_{n+1} = 2 x_n + 1 &(n = 1, 2, 3, \ldots). \end{array} \] What is the value of \( x_{5}? \)
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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The sequence \( \{x_n\} \) satisfies the relation \[ \begin{array} &x_1 = 1, &x_2 = 5, &x_{n+2} = 4 x_{n+1} + 5 x_n &(n = 1, 2, 3, \ldots). \end{array}\] What is the value of \( \dfrac{x_8}{625}? \)
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,
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The sequence \( \{x_n\} \) satisfies the relation \[ \begin{array} &x_1 = 1, &x_2 = 0, &6x_{n+2} = 5 x_{n+1} - x_n &(n = 1, 2, 3, \cdots). \end{array}\] What is the value \( n \) that satisfies \( x_n = \dfrac{1}{3^{10}} - \dfrac{1}{2^{10}}? \)
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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The sequence \( \{x_n\} \) satisfies the relation \[\begin{array} &x_1 = 4, &x_{n+1} = x_n + 3n - 2 &(n = 1, 2, 3, \ldots). \end{array} \] What is the value of \( x_{12}? \)
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.
Used and loved by 4 million people
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by Brilliant Staff