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In this lesson, we will learn how to identify, from its pattern, whether a given sequence is arithmetic, geometric, or neither.

Q1:

What kind of sequence is the following: 1 , 1 1 0 , 1 1 0 0 , 1 1 0 0 0 , … ?

Q2:

What kind of sequence is the following: 1 2 , 1 3 6 , 2 3 6 , 1 1 2 , 4 3 6 , … ?

Q3:

What kind of sequence is the following: 1 , 0 . 1 , 0 . 0 1 , 0 . 0 0 1 , … ?

Q4:

What kind of sequence is the following: 2 3 , 2 3 , 2 3 , 2 3 , … ?

Q5:

What kind of sequence is the following: 0 . 1 , 0 . 1 1 , 0 . 1 1 1 , 0 . 1 1 1 1 , … ?

Q6:

In the figure, each square represents one square unit. Letting 𝑥 be the number of columns in the shape and 𝑦 its area measured in square units, write a formula for the area of the shape in terms of 𝑥 . Then, calculate the value of 𝑦 when 𝑥 = 6 .

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