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, ...
![d_1=a_2-a_1=5-(-10)=15](/tpl/images/0188/7634/841f8.png)
![d_2=a_3-a_2=-52-5=-57](/tpl/images/0188/7634/9298a.png)
![d_1\neq d_2](/tpl/images/0188/7634/e435b.png)
This sequence is not an arithmetic sequence.
Similarly,
In option b,
15, 17,19, 111, ...
![d_1=a_2-a_1=17-15=2](/tpl/images/0188/7634/51d17.png)
![d_3=a_4-a_3=111-19=92](/tpl/images/0188/7634/663af.png)
![d_1\neq d_3](/tpl/images/0188/7634/b4448.png)
This sequence is not an arithmetic sequence.
In option c,
3, 6, 12, 24, ...
![d_1=a_2-a_1=6-3=3](/tpl/images/0188/7634/80d0f.png)
![d_2=a_3-a_2=12-6=6](/tpl/images/0188/7634/3f7c6.png)
![d_1\neq d_2](/tpl/images/0188/7634/e435b.png)
This sequence is not an arithmetic sequence.
In option d,
–7, –3, 1, 5, ...
![d_1=a_2-a_1=-3-(-7)=4](/tpl/images/0188/7634/4b949.png)
![d_2=a_3-a_2=1-(-3)=4](/tpl/images/0188/7634/d3006.png)
![d_3=a_4-a_3=5-1=4](/tpl/images/0188/7634/604e8.png)
![d_1=d_2=d_3=4](/tpl/images/0188/7634/76f4d.png)
This sequence is an arithmetic sequence.
Therefore, the correct option is D.