Write Terms of a Geometric Sequence
-$$a _ { n } = - 2 a _ { n - 1 } ; a _ { 1 } = 3$$
A) $3 , - 6,12 , - 24,48$
B) $- 6,12 , - 24,48 , - 96$
C) $- 2 , - 6 , - 12 , - 24 , - 48$
D) $3,1 , - 1 , - 3 , - 5$

Question

Quizplus · Accepted Answer

The given sequence is a geometric sequence with the first term $a_1 = 3$ and a common ratio $r = -2$. Each term is found by multiplying the previous term by $-2$. Starting with 3, the sequence is $3, 3 \times (-2) = -6, -6 \times (-2) = 12, 12 \times (-2) = -24, -24 \times (-2) = 48$, which matches option A.

Write Terms of a Geometric Sequence - an=−2an−1;a1=3a _ { n } = - 2 a _ { n - 1 } ; a _ { 1 } = 3an​=−2an−1​;a1​=3

Write Terms of a Geometric Sequence
- $a _ { n } = - 2 a _ { n - 1 } ; a _ { 1 } = 3$