Write the first four terms of a geometric sequence, {an}, based on the given information about the
sequence.
-$$a _ { 1 } = - 5 , r = - 4$$
A) $- 9 , - 13 , - 17 , - 21 , \ldots$
B) $- 5 , - 9 , - 13 , - 17 , \ldots$
C) $- 5,20 , - 80,320 , \ldots$
D) $20 , - 80,320 , - 1,280 , \ldots$

Question

Quizplus · Accepted Answer

In a geometric sequence, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio (r). Given $a_1 = -5$ and $r = -4$, the sequence is calculated as follows: $a_2 = a_1 \cdot r = -5 \cdot (-4) = 20$, $a_3 = a_2 \cdot r = 20 \cdot (-4) = -80$, $a_4 = a_3 \cdot r = -80 \cdot (-4) = 320$.

Write the First Four Terms of a Geometric Sequence, {An} a1=−5,r=−4a _ { 1 } = - 5 , r = - 4a1​=−5,r=−4

Write the First Four Terms of a Geometric Sequence, {An} $a _ { 1 } = - 5 , r = - 4$