Write the first five terms of the arithmetic sequence defined recursively.? $$a _ { 1 } = \frac { 7 } { 8 } , a _ { n + 1 } = a _ { n } - \frac { 5 } { 8 }$$ ? ?
A) $\frac { 7 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 13 } { 8 }$
B) $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 13 } { 8 }$ , $\frac { 7 } { 8 }$
C) $\frac { 7 } { 8 }$ , $- \frac { 3 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 9 } { 4 }$ ,-1
D) $\frac { 7 } { 8 }$ , $- \frac { 3 } { 8 }$ , $- \frac { 13 } { 8 }$ ,-1, $\frac { 1 } { 4 }$
E) $\frac { 7 } { 8 }$ , $\frac { 1 } { 4 }$ , $- \frac { 3 } { 8 }$ ,-1, $- \frac { 9 } { 4 }$

Question

Quizplus · Accepted Answer

Choice A lists 5 terms of an arithmetic sequence defined recursively, using the same hexadecimal numbering system as the prompt. The other choices also list 5 terms, but they do not match the recursive formula provided in the prompt.

Write the First Five Terms of the Arithmetic Sequence Defined a1=78,an+1=an−58a _ { 1 } = \frac { 7 } { 8 } , a _ { n + 1 } = a _ { n } - \frac { 5 } { 8 }a1​=87​,an+1​=an​−85​

Write the First Five Terms of the Arithmetic Sequence Defined $a _ { 1 } = \frac { 7 } { 8 } , a _ { n + 1 } = a _ { n } - \frac { 5 } { 8 }$