Find the general term an of the given sequence.
-$4,10,16,22,28 , \ldots$
A) $a _ { n } = 4 ( 6 ) ^ { n - 1 }$
B) $a _ { n } = 2 ( 3 n - 1 )$
C) $a _ { n } = 6 n - 1$
D) $a _ { n } = 2 n - 6$

Question

Quizplus · Accepted Answer

The common difference between consecutive terms is 6. Therefore, the sequence can be represented in the form $a_n=a_1+d(n-1)$, where $a_1=4$ and $d=6$. Simplifying this, we get $a_n=4+6(n-1)=2(3n-1)$, which matches option B.

Find the General Term an of the Given Sequence 4,10,16,22,28,…4,10,16,22,28 , \ldots4,10,16,22,28,…

Find the General Term an of the Given Sequence $4,10,16,22,28 , \ldots$