A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.
-$a _ { 1 } = 1 , a _ { n + 1 } = a _ {{ n } ^ { 3 }}$
A) $1,3,9,27,81,243$
B) $1,3,9,27,81$
C) $1,1,1,1,1$
D) $1,4,7,10,13$

Question

Quizplus · Accepted Answer

The given recursion formula is $a_{n+1} = a_{n}^3$ with the initial term $a_1 = 1$. Applying the formula, each term is the cube of the previous term, but since the initial term is 1, cubing 1 always results in 1. Therefore, the first five terms are all 1.

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