Which of the following sequences represents an arithmetic sequence?
-5, -3, -1, 1, ...
-7, -4, 1, 4, ...
1, 4, 9, 16, ...
2, -4, 8, -16, ...
-5, -3, -1, 1, ...
-7, -4, 1, 4, ...
1, 4, 9, 16, ...
2, -4, 8, -16, ...
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- 5, - 3, - 1, 1, ..., it is an arithmetic sequence.
- 7, - 4, 1, 4, ... , it is an arithmetic sequence.
1, 4, 9, 16, ... , it is not an arithmetic sequence.
2, - 4, 8, - 16, ..., it is not an arithmetic sequence.
Step-by-step explanation:
The given sequence are:
-5, -3, -1, 1, ...
Common difference(d) = Second term - First term = Third term - Second term
= - 3 - (- 5) = - 1 - ( - 3)
= - 3 + 5 = - 1 + 3
= 2 = 2, it is an arithmetic sequence.
The given sequence are:
- 7, - 4, 1, 4, ...
Common difference(d) = Second term - First term = Third term - Second term
= - 4 - (- 7) = 1 - ( - 4)
= - 4 + 7 = - 1 + 4
= 3 = 3, it is an arithmetic sequence.
The given sequence are:
1, 4, 9, 16, ...
Common difference(d) = Second term - First term = Third term - Second term
= 4 - 1 = 9 - 4
= 3 ≠ 5
= 3 ≠ 5, it is not an arithmetic sequence.
The given sequence are:
2, - 4, 8, - 16, ..
Common difference(d) = Second term - First term = Third term - Second term
= - 4 - 2 = 8 - (- 4)
= - 6 ≠ 12
= - 6 ≠ 12, it is not an arithmetic sequence.