Which sequences are arithmetic? check all that apply. –8.6, –5.0, –1.4, 2.2, 5.8, … 2, –2.2, 2.42, –2.662, 2.9282, … 5, 1, –3, –7, –11, … –3, 3, 9, 15, 21, … –6.2, –3.1, –1.55, –0.775, –0.3875, …

A) –8.6, –5.0, –1.4, 2.2, 5.8, …

C) 5, 1, –3, –7, –11, …

D) –3, 3, 9, 15, 21, …

Step-by-step explanation:

We know that,

Arithmetic sequence is a sequence in which the difference between the term and its next term is the same constant for all the terms.

Now, according to the options,

A) –8.6, –5.0, –1.4, 2.2, 5.8, …

The difference between each terms comes out to be 3.6.

for e.g. -5 - ( -8.6 ) = -5 + 8.6 = 3.6

B) 2, –2.2, 2.42, –2.662, 2.9282, …

The difference between every term varies and is not a constant.

for e.g. -2.2 - 2 = -4.2 and 2.42 - (-2.2) = 2.42 + 2.2 = 4.62

C) 5, 1, –3, –7, –11, …

The difference between each terms comes out to be -4.

for e.g. -11 - ( -7 ) = -11 + 7 = -4

D)  –3, 3, 9, 15, 21, …

The difference between each terms comes out to be 6.

for e.g. 15 - 9 = 6

E) –6.2, –3.1, –1.55, –0.775, –0.3875, …

The difference between every term varies and is not a constant.

for e.g. -3.1 - ( -6.2 ) = -3.1 + 6.2 = 3.1 and -1.55 - ( -3.1 ) = -1.55 + 3.1 = 1.55

Hence, the options A, C, D are arithmetic sequences.

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step-by-step explanation:

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