Write the first four terms of the recursive sequence.
-$a _ { 1 } = 8 , a _ { n } = 1 - \frac { 1 } { a _ { n - 1 } }$ for $n \geq 2$
A) $8 , \frac { 7 } { 8 } , - \frac { 1 } { 7 } , - 8$
B) $8 , \frac { 7 } { 8 } , - \frac { 1 } { 7 } , 8$
C) $8 , \frac { 7 } { 8 } , \frac { 1 } { 7 } , - 6$
D) $8 , - \frac { 7 } { 8 } , \frac { 15 } { 7 } , \frac { 8 } { 15 }$

Question

Quizplus · Accepted Answer

To find the first four terms of the given recursive sequence, we start with $a_1 = 8$. Then, we use the recursive formula $a_n = 1 - \frac{1}{a_{n-1}}$ to find the subsequent terms:- $a_2 = 1 - \frac{1}{8} = \frac{7}{8}$- $a_3 = 1 - \frac{1}{\frac{7}{8}} = 1 - \frac{8}{7} = -\frac{1}{7}$- $a_4 = 1 - \frac{1}{-\frac{1}{7}} = 1 + 7 = 8$Thus, the first four terms are $8, \frac{7}{8}, -\frac{1}{7}, 8$.

Write the First Four Terms of the Recursive Sequence a1=8,an=1−1an−1a _ { 1 } = 8 , a _ { n } = 1 - \frac { 1 } { a _ { n - 1 } }a1​=8,an​=1−an−1​1​

Write the First Four Terms of the Recursive Sequence $a _ { 1 } = 8 , a _ { n } = 1 - \frac { 1 } { a _ { n - 1 } }$