Find the 12th term of the sequence {eq}a_n = n(n - 6). {/eq}

Question:

Find the 12th term of the sequence {eq}a_n = n(n - 6). {/eq}

Sequences:

An infinite sequence is a succession of numbers one after another in a definite ordering. One can think of a sequence as a function, where the input is n (a positive integer) and the output is {eq}a_n, {/eq} the n th term of the sequence.

Answer and Explanation: 1

For the 12th term of the sequence, we must simply replace every occurrence of n by 12:

{eq}a_{12} = 12(12-6) = 12(6) = 72 {/eq}

So the 12th term of the sequence is 72.


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What is a Mathematical Sequence?

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Chapter 12 / Lesson 1
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Learn about the definition of sequence in math. Understand what finite and infinite mathematical sequences are and how they are represented. See examples of famous mathematical sequences that are commonly used.


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