Answer:
C), D) and E)
Step-by-step explanation:
First let's see what an arithmetic sequence is.
A arithmetic sequence is series of numbers where the difference between the successive terms must be a constant.
For example,
2, 4, 6, 8, 10.....
If you find the difference between the successive terms, it will be the same constant.
4 -2 = 2
6 -4 = 2
8 -6 = 2
This is called arithmetic sequence.
A and B are not the arithmetic sequence. The different is not the same constant.
C) 345, 346, 347, 348, 349....
Difference = 1 between the two successive terms.
So it is an arithmetic sequence.
D) 54, 71, 88, 105, 122...
Difference = 71 - 54 = 17
88 - 71 = 17
So it is an arithmetic sequence.
E) -3, -10, -17, -24, -31...
Difference = -10 -(-3) = -10 + 3 = -7
Difference of -10 and -17 is -17 -(-10) = -17 +10 = -7
So it is an arithmetic sequence.
Answer: C), D) and E)
