Question

What is the common ratio between successive terms in the sequence? 2, –4, 8, –16, 32, –64, ... –2 –6 6 2

Answer 1

Solution:

Hence, the common ratio is -2

Explanation:

We have been given the sequence 2, –4, 8, –16, 32, –64, ......

The common ratio is the ratio of the a term and its previous term. Generally, we find common ratio in case of geometric progression. If the common ratio is same then we can say that the sequence is geometric.

For the given sequence, we have

$a_1=2,a_2=-4,a_3=8,a_4=-16,a_5=32,a_6=-64$

Therefore, the common ratio, r is given by

$r=\frac{a_2}{a_1} =\frac{a_3}{a_3} =\frac{a_4}{a_3}=\frac{a_5}{a_4} =\frac{a_6}{a_5}$

$r=\frac{-4}{2}\\\\r=-2$

Hence, the common ratio is -2

Answer 2

Answer:

-2 is the correct answer

Step-by-step explanation: