Answer:
Common ratio is - 4 / 2.
Step-by-step explanation:
Sequence = - 2, 4, - 8, 16, - 32, ....
Let the terms be " a ".
Here,
a1 = 2
a2 = 4
a3 = - 8
a4 = 16
a5 = - 32
Let the common ratio be " r ".
r1 = a2 / a1
= 4 / - 2
r1 = - 2
r2 = a3 / a2
= - 8 / 4
r2 = - 2
r3 = a4 / a3
= 16 / - 8
r3 = - 2
r4 = a5 / q4
= - 32 / 16
r4 = - 2
Since, the common ratios are same,
Therefore, r = - 2
- 4 / 2 = - 2
So, - 2 can also be written as - 4 / 2.
Hence,
r = - 4 / 2
Finally,
Common ratio ( r ) = - 4 / 2
