Answer:
Step-by-step explanation:
1). Let the length of a marathon race = x miles
Marathon runner runs this race in the sequence formed as,
Common ratio =
=
=
Therefore, it's a geometric sequence.
2). First movie rental cost = $2
Followed by each additional movie rental cost = $1
Therefore, rental of movies will be in the form of a linear equation,
y = 2x + 1
where x = number of movies
And y = Rental of movies
It's not a geometric sequence.
3). 10, 1, 0.1, 0.01.......
Ratio in 2nd and 1st term =
Ratio in 3rd and 2nd term =
Therefore, ratio in each term is common.
Sequence formed will be a geometric sequence.
4).
Expression represents a common ratio of 0.2,
Therefore, expression given will represent a geometric sequence.
5). -4, 20, -100, 500, ...........
Ratio of 2nd and 1st term = = -5
Ratio of 3rd and 2nd term =
= -5
There is a common ratio = -5
Therefore, it's a geometric sequence.
6). -1, 5, 11, 17.........
Ratio of 2nd and 1st term =
Ratio of 3rd and 2nd term =
-5 ≠ 2.2
Therefore, sequence is not a geometric sequence.
7). -500, 100, -20, 4........
Ratio of 2nd and 1st term =
Ratio of 3rd and 2nd term =