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In this lesson, we will learn how to calculate the common difference, find next terms in an arithmetic sequence, and check if the sequence increases or decreases.

Q1:

Write the next three terms of the arithmetic sequence 1 5 . 8 , 1 4 . 6 , 1 3 . 4 , 1 2 . 2 , β¦ .

Q2:

Write the next three terms of the arithmetic sequence 1 8 . 5 , 1 7 . 9 , 1 7 . 3 , 1 6 . 7 , β¦ .

Q3:

Consider the finite sequence , where two values are missing. We can think of this sequence as the function whose graph is sketched.

What is the domain of the function?

What is the range of the function?

Q4:

If the multiples of any number are written in increasing order, do they form an arithmetic sequence?

Q5:

The sequence ( π ) π is an arithmetic sequence if π β π π + 1 π is .

Q6:

Write the next three terms of the following sequence: 3 1 , 5 7 , 8 3 , 1 0 9 , β¦ .

Q7:

Write the next three terms of the following sequence: 7 0 , 7 7 , 8 4 , 9 1 , β¦ .

Q8:

Use the graph to decide whether the following sequence is an arithmetic sequence.

Q9:

The common difference of an arithmetic sequence, denoted as π , is for each π β β€ + .

Q10:

Is the sequence π = β 7 π β 6 2 π increasing or decreasing?

Q11:

Is the sequence ( 2 , β 3 , β 8 , β 1 3 , β¦ ) increasing or decreasing?

Q12:

Is the sequence ( 6 0 , 6 6 , 7 2 , 7 8 , β¦ ) increasing or decreasing?

Q13:

An arithmetic progression starting at π and ending at π has a common difference equal to π . What is the second term from the end?

Q14:

Which of the following is an arithmetic sequence?

Q15:

Find π , given π = 4 π + 5 π and π = 2 3 7 π .

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