Determine which sequence is an arithmetic sequence.
a)
−10, 5, −52, 54,
b)
15, 17,19, 111,
c)
3, 6, 12, 24,
d)
–7, –3, 1, 5,

Step-by-step explanation:

Short Answer D

A alternates in sign. Every odd positioned entry is minus. No arithmetic progression does that.

B A jump from 19 to 111 after going up by 2s starting with 15 is not an arithmetic progression.

C Each entry is multiplied by 2 to get the next entry after the 3. That is a geometric progression. C is not the answer.

D starts at - 7 and has 4 added to it for each successive entry.

Option D.

Step-by-step explanation:

We need to find the arithmetic sequence from the given sequences.

A sequence is called an arithmetic sequence if the difference between any two consecutive terms is constant.c In other words, the sequence has common difference.

In option a,

−10, 5, −52, 54, ...

This sequence is not an arithmetic sequence.

Similarly,

In option b,

15, 17,19, 111, ...

This sequence is not an arithmetic sequence.

In option c,

3, 6, 12, 24, ...

This sequence is not an arithmetic sequence.

In option d,

–7, –3, 1, 5, ...

This sequence is an arithmetic sequence.

Therefore, the correct option is D.

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d

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