Question

Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) −3, −23, −43, −63, ... 3) −34, −64, −94, −124, ... 4) −30, −40, −50, −60, ... 5) −7, −9, −11, −13, ... 6) 9, 14, 19, 24, ...

Answer 1

1) Yes, it is arithmetic, the common difference is -3. To find this, subtract any number from the number after it.

32 - 35 = -3

2) yes, it is arithmetic, the common difference is -20. To find this, subtract any number from the number after it.

-23 - -3 = -20

3) yes, it is arithmetic, the common difference is -30. To find this, subtract any number from the number after it.

-64 - -34 = -30

4) yes, it is arithmetic, the common difference is -10. To find this, subtract any number from the number after it.

-40 - -30 = -10

yes, it is arithmetic, the common difference is -2. To find this, subtract any number from the number after it.

-9 - -7 = -2

yes, it is arithmetic, the common difference is 5. To find this, subtract any number from the number after it.

14 - 9 = 5