Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).
-$$\text { a5 } = 3 , \mathrm {~d} = - 1 , \mathrm { n } = 5$$
A) $11,9,7,5,3$
B) $- 7 , - 6 , - 5 , - 4 , - 3$
C) $0,7,6,5,4$
D) $7,6,5,4,3$

Question

Quizplus · Accepted Answer

Given $a_5 = 3$ and $d = -1$, we can find the first term $a_1$ using the formula for the nth term of an arithmetic sequence: $a_n = a_1 + (n - 1)d$. Substituting $a_5 = 3$, $d = -1$, and $n = 5$, we get $3 = a_1 + 4(-1)$, which simplifies to $3 = a_1 - 4$, giving $a_1 = 7$. Therefore, the first 5 terms are $7, 6, 5, 4, 3$, decreasing by 1 each time.

Write the First N Terms of the Given Arithmetic Sequence a5 =3, d=−1,n=5\text { a5 } = 3 , \mathrm {~d} = - 1 , \mathrm { n } = 5 a5 =3, d=−1,n=5

Write the First N Terms of the Given Arithmetic Sequence $\text { a5 } = 3 , \mathrm {~d} = - 1 , \mathrm { n } = 5$