Determine if the sequence is arithmetic. if it is, find the common difference. is the sequence a function ? 6.) -7, -10, -11, -13, determine if the sequence is geometric. if it is, find the common ratio 8.) 4, 20, 100, 500, 10.) -30, -45, -50, -65, determine if the sequence is geometric. if it is, find the common ratio. is the sequence a function? 12.) -7, -14, 21, -28,

Common difference exists if the difference between any two consecutive values in a sequence is the same while common ratio exists if the ratio between any two consecutive values In a sequence are the same.

1.)

For the sequence : -7, -10, -11, -13,

-10 - (-7) = - 11 - (-10)

-10 + 7 = - 11 + 10

-3 ≠ - 1

Hence, the sequence is not arithmetic

2.)

For the sequence : 4, 20, 100, 500

20/4 = 100/20 = 500/100

5 = 5 = 5

Hence, the sequence is geometric

3.) For the sequence : 30, -45, -50, -65

-45/30 ≠ - 50/45 ≠ - 65/50

Hence, the sequence is not geometric

4.)

For the sequence : -7, -14, 21, -28, ...

-14 - (-7) = 21 - (-14)

-14 + 7 = 21 + 14

-7 ≠ 35

Hence, the sequence is not arithmetic

Therefore, arithmetic and geometric sequences do have a common difference and common ratio respectively.

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