Identify the Sequence 6 , 10 , 14 , __
- 18
- 20
- 28
- 30
Explanation
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> to the previous term in the sequence gives the next term. In other words, a n = a 1 + d ( n - 1 ) " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">.
Arithmetic Sequence: d = 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">
This is the formula of an arithmetic sequence.
Substitute in the values of a 1 = 6 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> and d = 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">.
Subtract 4 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> from 6 " role="presentation" style="outline: 0px; display: inline-block; line-height: 0; overflow-wrap: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">.
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