Which of the following are arithmetic sequences?
a. 9, 6, 3, 0
b. 8, 9, 11, 14, 18, . . .
c. 50, 52, 54, 56, . . .
d. –3, –5, –9, –11, –15, –17, . . .
e. 7, 21, 35, 49, . . .
An arithmetic sequence is a succession of numbers that differ by a constant quantity called the difference of the progression. According to the above, it can be inferred that the arithmetic sequences are:
A. 9, 6, 3, 0 ... in this sequence the difference is -3.
C. 50, 52, 54, 56 ..., in this progression the difference is 2.
E. 7, 21, 35, 59 ..., in this progression the difference is 14.
According to the above, options A, C and E are progressions because they have constant differences in the sequences, which makes it possible to identify the numbers that follow in the sequence.
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