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

difference.
9, 15, 21, 27, ...

User MrsTang
by
2.6k points

1 Answer

24 votes
24 votes

Answer:

Yes the sequence is arithmetic

The common difference is 6

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

User Mehul Katpara
by
3.1k points