Write Terms of a Geometric Sequence
-$$a _ { n } = 3 a _ { n - 1 } ; a _ { 1 } = - 2$$
A) $- 2 , - 6 , - 18 , - 54 , - 162$
B) $- 6 , - 18 , - 54 , - 162 , - 486$
C) $3,6 , - 18 , - 54 , - 162$
D) $- 2,1,4,7,10$

Question

Quizplus · Accepted Answer

The given sequence is a geometric sequence with the first term $a_1 = -2$ and common ratio $r = 3$. Each term is found by multiplying the previous term by 3. Starting with $-2$, the sequence is $-2, -2\cdot3 = -6, -6\cdot3 = -18, -18\cdot3 = -54, -54\cdot3 = -162$, which matches option A.

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

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