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Sequences and Series Homework Tips

A sequence is a list of numbers that is set in a definite order, e.g. in geometric sequences we multiply the previous term of the sequence by a constant: 1, 2, 4, 8… A series is the sum of all terms of a sequence. Assignments concerning sequences first appear in high school and you are sure to encounter them at college and university if you go on study mathematics, for it is a notion that helps in solving various problems in different fields of the mathematics. So, if you have sequences on your math homework, it is better to find out everything about them before plunging into search for solutions.

A sequence generally has a rule that helps to define the value of the next term, e.g. the sequence 1, 4, 7, 10 starts with one and adds by 3 every time. Although it is alright to say “adds 3 every time” to yourself, it doesn’t help to deal with your assignment, e.g., to find the 150th term. That’s why when working with sequences in your homework you have to compose a formula with n in it (where n is any term member). Thus, the answer for our sequence will be 3n-2. Try out this for yourself, test it with various numbers, and you’ll see it is correct. However, the best way to learn how to perform an assignment dealing with sequences is to practice. Think about questions for yourself, try to compose complex sequences and formulas for them in addition to your usual homework.

A student may find it useful to know about the existence of solvers that can help you to solve problems dealing with number sequences online. But, for your own sake, don’t try to use them to get rid of your real homework assignments – they are only helpful when used to practice, not to cheat. In case you encounter any difficulties, feel free to use the materials provided by our service.

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