Question

Sequence A: 5, 7, 9, 11
Sequence B: 34, 43, 52, 61,
Sequence C: -9, -4, 1, 6,
Which of the following lists the sequences in order from least common difference to greatest common difference?

Answer 1

The ordered list of sequences from least to greatest common difference is:

Sequence A

Sequence C

Sequence B

Step-by-step explanation:

We will find the common difference of each sequence first.

So,

Sequence A:

5, 7, 9, 11

Here,

$a_1=5\\a_2=7\\a_3=9\\So,\\d=a_2-a_1=7-5=2\\=a_3-a_2=9-7=2$

The common difference is 2.

Sequence B:

34, 43, 52, 61,

$a_1=34\\a_2=43\\a_3=52\\So,\\d=a_2-a_1=43-34=9\\=a_3-a_2=52-43=9$

The common difference is 9.

Sequence C:

-9, -4, 1, 6,

$a_1=-9\\a_2=-4\\a_3=1\\So,\\d=a_2-a_1=-4-(-9)=-4+9=5\\=a_3-a_2=1-(-4)=1+4=5$

The common difference is 5.

The ordered list of sequences from least to greatest common difference is:

Sequence A

Sequence C

Sequence B

Keywords: Arithmetic sequence, common difference

Learn more about Arithmetic Sequence at:

• brainly.com/question/3799248
• brainly.com/question/3950386

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