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"What is the next term in the following constant velocity sequence?

10 cm, 17 cm, 24 cm,..."
A) 30 cm
B) 31 cm
C) 34 cm
D) 27 cm

1 Answer

4 votes

Final answer:

The next term in the constant velocity sequence is found by adding the common difference of 7 cm to the last term given, resulting in 31 cm.

Step-by-step explanation:

The sequence given is increasing by a constant difference, which is characteristic of an arithmetic sequence. To find the next term of the sequence, we first need to determine the common difference. Observing the sequence, the difference between consecutive terms is 17 cm - 10 cm = 7 cm and 24 cm - 17 cm = 7 cm. Therefore, the common difference is 7 cm.

To find the next term after 24 cm, we add the common difference of 7 cm to it:

24 cm + 7 cm = 31 cm.

Thus, the next term in the sequence is 31 cm, which is option B).

User Jan Tattermusch
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