Question

which sequences are arithmetic? select three options​

Answer 1

Answer:

The sequences are arithmetic

1).-8.6, -5.0, -1.4, 2.2, 5.8

2).  5, 1, -3, -7, -11

3). -3, 3, 9, 15, 21

Step-by-step explanation:

If a sequence is a an AP then there is a common difference d.

1) Check sequence 1

-8.6, -5.0, -1.4, 2.2, 5.8

-5.0 - - 8.6 = 3.6

-1.4 - -5.4 = 3.6  It is an AP

2) Check sequence 2

2, -2.2,2.42, -2.662, 2.9282

-2.2 - 2 = -4.2

-2.662 - 2.42 = -5.082 Not AP

Similarly AP sequences are

5, 1, -3, -7, -11

-3, 3, 9, 15, 21

Answer 2

The sequence that are arithmetic are as follows:

5, 1, -3, -7, -11.

-3, 3, 9, 15, 21

-8.6, - 5.0, -1.4, 2.2, 5.8

What is arithmetic sequence?

Arithmetic sequence is a list of numbers with a definite pattern. Therefore, let's find the sequence with a definite pattern.

5, 1, -3, -7, -11.

This is a sequence as it as a definite pattern. The value are reduced by 4. Therefore, the common difference is 4.

• 1 - 4 = 4

• -3 - (-1) = 4...

-3, 3, 9, 15, 21

This is a sequence because it has a common difference of 6.

• 3 - (-3) = 6

• 9 - 3 = 6

• 15 - 9 = 6...

-8.6, - 5.0, -1.4, 2.2, 5.8

This is a sequence because it has a common difference of 3.6.

• -5.0 - (-8.6) = 3.6
• -1.4 - (-5.0) = 3.6

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