Answer:
The COMMON RATIO of the sequence is -2.
Step-by-step explanation:
Here, the given sequence is:
5, -10, 20 ,-40
Here, The first term ( a 1 ) of the sequence is (5)
The second term (a 2) of the sequence is (-10)
Third term of sequence (a 3) is 20
Now, calculating the common ratio (r) of sequence ,we get:
[tex]\frac{a_2}{a_1} = r = (\frac{-10}{5}) = -2\\\frac{a_3}{a_2} =r = (\frac{20}{-10}) = -2[/tex]
So, here r =(-2)
⇒ The COMMON RATIO of the sequence is -2.
Hence, the given sequence in in GEOMETRIC PROGRESSION.
