Rachael Sharp edited untitled.tex  about 8 years ago

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\textit{Oh, an empty article!} $1$ $\underline{\text{Recurrence Relations}}$  \vspace{2mm}  Throughout one's education and as one progresses through grade levels, a common math problem that students are faced with are puzzles in which they have to determine what number comes next in a sequence. For example, a teacher may ask a student to fill in the missing number in the following example:  You can get started by \textbf{double clicking} this text block and begin editing. You can also click the \textbf{Text} button below \[ 1,4,7,10 \underline{\hspace{1cm}}, ... \]  \vspace{2mm}  A student may then notice a pattern of adding $3$  to add new block elements. Or you can \textbf{drag and drop the previous term. More advanced students may even come up with the formula $3n-2$. This idea, at its very core, is an illustration of a recurrence relation. (CITE)  \vspace{2mm}  Defined mathematically, a recurrence relation is  an image} right onto this text. Happy writing! equation in which the next term in the sequence is dependent upon or acts as a function of the previous term(s).