A great tool for students studying sequences and series is a cheat sheet created by ebabor. This cheat sheet includes valuable information on the topic and can be found at cheatography.com. One important thing to remember when using this cheat sheet is to fully understand the concepts before attempting to use it as a shortcut.
Sequences
A sequence is a set of numbers in a specific order. It can be defined either recursively or explicitly. There are different types of sequences, such as arithmetic and geometric. Arithmetic sequences have a common difference between each term, while geometric sequences have a common ratio. It is important to know the formulas for finding the nth term, sum of the first n terms, and the sum to infinity for each type of sequence.
Series
A series is the sum of the terms in a sequence. It can be convergent or divergent. To determine whether a series is convergent, it is important to check for the ratio test, integral test, or comparison test. If a series is convergent, it is possible to find its sum by using the formula for the infinite geometric series or by using one of the tests for infinite series convergence.
Overall, having a cheat sheet for sequences and series is a helpful resource for students. With this information, they can better understand the concepts and apply them to solve problems. However, it is important to use it as a tool to supplement learning rather than as a shortcut.
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