Question

The sequence 3,9,15,21,27 is an arithmetic sequence. What is the common difference d of this sequence

Answer 1

`\fbox{Hii\:student!}`

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`\multimap\parallel\boldsymbol{Answer.}\parallel\gets`

`\textsl{the common difference is 6!}`

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`\multimap\parallel\boldsymbol{Explanation.}\parallel\gets`

`\textsl{here's how we find the common difference in the sequence:}`

`\sf 27-21=6 \\ 21-15=6 \\ 15-9=6 \\ 9-3=6 \\the\;result\;is\;the\;common\;difference}`

`\maltese\boldsymbol{\therefore,\:6\:is\;the\;common\;dif\!ference}`

Hope that this helped! Best wishes.

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Answer 2

6

Explanation:

We can find the common difference by subtracting one number in the sequence from the one ahead of it.

27-21=6

21-15=6

15-9=6

9-3=6

The differences between each number is 6.

Because the difference is the same between each number in the sequence, that makes 6 the common difference.