What comes next? Arithmetic Sequences
Write the next two terms in the sequence….. 7, 13, 19, 25, ___, ___ 3137
Write the next two terms in the sequence….. 14, 22, 30, 38, 46, ___, ___ 5462
Write the next two terms in the sequence….. 3, 7, 11, 15, ___, ___ 1923
Write the next three terms in the sequence….. 4, 9, 14, 19, ___, ___, ___
Write the next four terms in the sequence….. 7, 12, 17, ___, ___, ___, ___
Write the first five terms of the sequence represented….. Start at 3 and increase by 10 Start at 4 and increase by 5 Start at 6 and increase by 2 3, 13, 23, 33, 43 4, 9, 14, 19, 24 6, 8, 10, 12, 14
Let’s review! Write the first five terms of the sequence represented….. Start at 4 and increase by Now let’s make a table… n
Write the first five terms of the sequence represented by….. 2n + 1 n The nth term is the position in the sequence.
Now it’s your turn… Write the first five terms of the sequence represented by….. 3n + 2 5n – 1 Hint: Make a Table!!! nn
Let’s analyze arithmetic sequences... How do we identify the n th term of each sequence? 7, 12, 17, 22, ….. The nth term is ANY position (number) in the sequence.
Let’s write an expression to identify the n th term 1. What is the common difference? 2. What is the zero term? n + 2
Let’s write another expression… 7, 13, 19, 25, ….. n n + 1
Let’s try another one… 3, 7, 11, 15, ….. Hint: Make a Table!!! n
Think, Pair, Share Which of the following tasks is easier for you? Why? 1. Finding the next two terms in a sequence 2. Using an expression to find terms in a sequence 3. Writing the Algebraic Expression for a sequence