Write an expression for the nth term of the sequence 2, 8, 26, 80, ....
A) $a_ { n } = 1 - 3 ^ { n }$
B) $a _ { n } = 4 ^ { n } + 1$
C) $a _ { n } = 3 ^ { n } - 1$
D) $a _ { n } = 4 ^ { n } - 5$
E) $\alpha _ { n } = 1 + 3 ^ { n }$

Question

Quizplus · Accepted Answer

The pattern in the sequence can be observed as each term being one less than a power of 3. For example, 2 = $3^1 - 1$, 8 = $3^2 - 1$, 26 = $3^3 - 1$, and so on. Therefore, the nth term is given by $3^n - 1$.

Write an Expression for the Nth Term of the Sequence an=1−3na_ { n } = 1 - 3 ^ { n }an​=1−3n

Write an Expression for the Nth Term of the Sequence $a_ { n } = 1 - 3 ^ { n }$