Answer: A. , C. and D.
Step-by-step explanation:
We know that a geometric sequence is a sequence of numbers that is in a pattern where the next term is obtained by multiplying by a constant known as the common ratio.
A -48, 96, -192, 384
here, [tex]\frac{96}{-48}=\frac{-192}{96}=\frac{384}{-192}=-2[/tex]
hence, it is a geometric sequence.
B … 1, 4, 9, 16
here, [tex]\frac{4}{1}\neq\frac{9}{4}[/tex]
hence, it is not a geometric sequence.
C ... 3, 9, 27 81 …
here, [tex]\frac{9}{3}=\frac{27}{9}=\frac{81}{27}=3[/tex]
hence, it is a geometric sequence.
D 5, 10, 20, 40, …
here, [tex]\frac{10}{5}=\frac{20}{10}=\frac{40}{20}=2[/tex]
hence, it is a geometric sequence.
F. 24, 20, 16, 12, …
here, [tex]\frac{20}{24}=\frac{5}{6}\neq\frac{16}{20}=\frac{4}{5}[/tex]
hence, it is not a geometric sequence.
G. 25, 20, 15, 10, …
here, [tex]\frac{20}{25}=\frac{4}{5}\neq\frac{15}{20}=\frac{3}{4}[/tex]
hence, it is not geometric sequence.
