Question

Which of the following sequences is an arithmetic sequence? Why?

1. 3, 7, 11, 15, 19
2. 4, 16, 64, 256
3. 48, 24, 12, 6, 3, ...
4. 1, 4, 9, 16, 25, 36
5. 1, 1/2, 0, -1/2
6. -2, 4, -8, 16, ...
7. 1, 0, -1, -2, -3
8. 1/2, 1/3, 1/4, 1/5, ...
9. 3x, x, x/3, x/9, ...
10. 9.5, 7.5, 5.5, 3.5, ..

Answer 1

Answer: sequences 1,5,7,9,10

Explanation:

An arithmetic sequence is defined by a sequence of numbers with a common difference between terms. Technically if x=0 in q9 we have a constant sequence, which by definition is arithmetic. However if x does not equal 0 it is not arithmetic.