This is the explicit form Distribute the -6 and simplify, change to f(n) and you will have function form This is function form To find the 10th term use n = 10 and simplifyįirst find the common difference Next list all of the unknowns Find the explicit form by plugging in the first term and the common difference Find the function form by simplifying the explicit form To find the specific term replace n with the term you are looking for.Ħ You try… Find the common difference, the indicated term, write the explicit and function form of the sequence. n =10 because we are looking for the 10th term d = -6 because we are adding -6 to each term = 12 because it is the first term of the sequenceĤ Now use the information in the formula…don’t plug in “n” and you will have the explicit form 12, 6, 0, -6, Find Write down every thing you need in the formula. ![]() Arithmetic Geometricįind the common difference, find the indicated term, write the equation in both function and explicit form Let’s look at a sequence. Use the appropriate formula to find the term asked for. Find the common difference (arithmetic) or the common ratio (geometric) 3. This constant is called the common ratio.Ģ When we are given a sequence and asked to find a specific term…ġ.Determine whether the sequence is arithmetic or geometric. Is a sequence in which each term is equal to the previous term multiplied by a constant. ![]() This constant is called the common difference. What are two types of Sequences? Arithmetic Sequence: Geometric Sequence: Is a sequence in which each term is equal to the previous term plus a constant. ![]() What is a sequence? A sequence of numbers is a list, an ordering that may or may not follow some rule.
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