Write the first six terms of the arithmetic sequence with the given properties. $a = 5,3$ rd term is 1
A) $\quad 5,3,1 , - 1 , - 3 , - 5$
B) $\quad 3,5,1,9,11,13$
C) $\quad 3,1,1 , - 3 , - 5 , - 7$
D) $\quad 5,7,1,11,13,15$
E) none of the above

Question

Quizplus · Accepted Answer

The common difference $d$ can be found using the formula for the $n$th term of an arithmetic sequence: $a_n = a_1 + (n-1)d$. Given $a_1 = 5$ and the 3rd term $a_3 = 1$, we can solve for $d$: $1 = 5 + (3-1)d$, leading to $d = -2$. The first six terms are $5, 3, 1, -1, -3, -5$.

Write the First Six Terms of the Arithmetic Sequence with the Given