Answer :
From the given sequences following are the arithmetic sequences :
1. 3, 7, 11, 15, 19
5. 1, 1/2, 0, -1/2
7. 1, 0, -1, -2, -3
10. 9.5, 7.5, 5.5, 3.5, ...
As given in the question,
Arithmetic sequences are :-
1) yes, because the difference between the terms is same.
7 - 3 = 11-7 = 15 -11 = 4
5)yes, because the difference between the terms is same.
1/2 -1 = 0 -1/2 = -1/2 -0 = -1/2
7)yes, because the difference between the terms is same.
0 - 1 = -1 -0 = -2 -(-1) = -1
10)yes, because the difference between the terms is same.
7.5 - 9.5 = 5.5 - 7.5 = 3.5 -5.5 = -2
Difference between consecutive terms of these sequences are not equal . so these are not arithmetic sequences :-
2,3,4,6,8, 9
Arithmetic sequence
In an arithmetic sequence, the difference between consecutive terms is always the same. For example, the sequence 3, 5, 7, 9 .. is arithmetic because the difference between consecutive terms is always two.
Therefore, the arithmetic sequences are :
1. 3, 7, 11, 15, 19
5. 1, 1/2, 0, -1/2
7. 1, 0, -1, -2, -3
10. 9.5, 7.5, 5.5, 3.5, ...
Learn more about arithmetic sequence here :-
brainly.com/question/15412619
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