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Tel whether each sequence is an arithmetic sequence or not

Tel Whether Each Sequence Is An Arithmetic Sequence Or Not class=

Sagot :

Answer:

Explanations:

Note that for a sequence to be arithmetic, there must be a common difference, d.

Considering each of the sequences provided:

For -1, 3, -9, 27, -81.........

3 - (-1) = 4

-9 - 3 = -12

27 - (-9) = 36

Since the differences between consecutive terms are not common, this is not an arithmetic sequence.

For 1, -2, -5, -8, -11....

-2-1 = -3

-5 -(-2) = -3

-8 - (-5) = -3

-11 - (-8) = -3

Since there is a common difference, d = -3, the sequence is an arithmetic sequence

For 26, 39, 52, 65, 78.....

39 - 26 = 13

52 - 39 = 13

65 - 52 = 13

78 - 65 = 13

Since there is a common difference of