Write the first five terms of the arithmetic sequence.
$$a _ { 5 } = - 29 , a _ { 10 } = - 59$$
A) $- 5,1,7,13,19$
B) $- 11 , - 17 , - 23 , - 29 , - 35$
C) $- 5 , - 11 , - 17 , - 23 , - 29$
D) $- 5,30 , - 180,1080 , - 6480$
E) $- 5 , - 11 , - 16 , - 21 , - 26$

Question

Quizplus · Accepted Answer

Since it's an arithmetic sequence with a common difference, $d$, we know that $a_{10} - a_{5} = d\cdot 5 = -30$. Thus, $d=-6$. Then, $a_5=a_1+4d$, so $a_1=-5$. Therefore, the first five terms are $-5,-11,-17,-23,-29$, which is choice C.

Write the First Five Terms of the Arithmetic Sequence a5=−29,a10=−59a _ { 5 } = - 29 , a _ { 10 } = - 59a5​=−29,a10​=−59

Write the First Five Terms of the Arithmetic Sequence $a _ { 5 } = - 29 , a _ { 10 } = - 59$