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what is nth rule 10 16 22 28​

Sagot :

MissyArelleeeeeidn

• Problem:

What is nth rule of 10, 16, 22, 28?

• Answer:

The given sequence has a common difference of 6, thus, an arithmetic one. Common difference can be obtained when you subtract a term by its preceding term, 28 - 22 = 6 and 22 - 16 = 6, in which 6 is the common difference.

To formulate a rule for the given sequence, we'll use the formula for arithmetic sequence.

[tex]\begin{gathered}\large\boxed{\begin{array}{}\tt a_n=a_1+(n-1)d \\ \tt a_n= 10+(n-1)(6) \\ \tt a_n= 10 + 6n - 6 \\ \purple{\tt a_n=6n + 4}\end{array}}\end{gathered} [/tex]

• Thus, the rule for the given sequence is 6n + 4.