Answer:
D
Step-by-step explanation:
We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.
−5, −7, −10, −14, −19, …
Here difference between -5 and -7 is -2
But difference between -10 and -7 is -3
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
1.5, −1.5, 1.5, −1.5, …
Here difference between 1.5 and -1.5 is 3
But difference between -1.5 and 1.5 is 3
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
4.1, 5.1, 6.2, 7.2, …
Here difference between 4.1 and 5.1 is 1
But difference between 6.2 and 5.1 is 1.1
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
−1.5, −1, −0.5, 0, …
Here difference between -1.5 and -1 is 0.5
But difference between -1 and -0.5 is 0.5
⇒ Difference is constant.
Therefore, this sequence represents an arithmetic sequence.
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