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## Determine whether the following sequences are arithmetic. If so, identify the common difference. 9, 15, 21, 27, …

Question

Determine whether the following sequences are arithmetic. If so, identify the common

difference.

9, 15, 21, 27, …

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Mathematics
3 years
2021-08-15T04:53:13+00:00
2021-08-15T04:53:13+00:00 1 Answers
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## Answers ( )

Answer:

Yes the sequence is arithmetic

The common difference is 6

Step-by-step explanation:

Determine whether the following sequences are arithmetic. If so, identify the common difference.

9, 15, 21, 27, …

The sequence given in the above question is arithmetic because it follows the formula

Un = a + (n -1)d

Where

a= First term

n = Number of terms

d = Common difference

The common difference is calculated as the

Second term – First term

15 – 9

= 6

or the Third term – Second term

21 – 15

= 6

or the Fourth term – Third term

= 27 – 21

= 6

Therefore, the Common difference = 6