Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).
-$$a _ { 3 } = 3 , d = - 4 , n = 5$$
A) $15,11,7,3 , - 1$
B) $11,7,3 , - 1 , - 5$
C) $11,7,2 , - 1 , - 5$
D) $7,3 , - 1 , - 5 , - 9$

Question

Quizplus · Accepted Answer

The third term of the sequence is given as 3, and the common difference is -4. To find the first term, we use the formula for the nth term of an arithmetic sequence: $a_n = a_1 + (n-1)d$. Substituting $n = 3$, $a_3 = 3$, and $d = -4$, we solve for $a_1$: $3 = a_1 + 2(-4)$, which simplifies to $a_1 = 11$. Thus, the first five terms are 11, 7, 3, -1, -5, following the pattern of subtracting 4 each time.

Write the First N Terms of the Given Arithmetic Sequence a3=3,d=−4,n=5a _ { 3 } = 3 , d = - 4 , n = 5a3​=3,d=−4,n=5

Write the First N Terms of the Given Arithmetic Sequence $a _ { 3 } = 3 , d = - 4 , n = 5$