Question

Which of the following sequences of numbers are arithmetic sequences? Check all that apply.

A.99, 100, 101, 102, 103, ...
B.-3, -5, -7, -9, -11, ...
C.2, -2, 2, -2, 2, ...
D.1, 6, 11, 16, 21, ...
E.-4, 7, -10, 13, -16, ...

Answer 1

A, B, D
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Answer 2

In an Arithmetic sequence, the difference between two consecutive terms of the sequence remains the same. This difference is known as common difference.

If we observe the given options, we can note:
In option A, the difference between two consecutive terms is the same and is equal to 1.

In option B, the difference between two consecutive terms is the same and is equal to -2.

In option C, the difference is not the same.

In option D, the difference between two consecutive terms is the same and is equal to 5.

In option E, the difference is not the same.

So, the correct options are A,B and D