What comes next? Arithmetic Sequences. Write the next two terms in the sequence….. 7, 13, 19, 25, _, _ 3137.

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Presentation transcript:

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