Answer with explanation:
Geometric sequence--
The sequence is said to be geometric if each of the term of the sequence is obtained by multiplying the preceding term of the sequence by a fixed constant.
This fixed constant is known as a common ratio and is denoted by r.
i.e. the sequence is given by:
a,ar,ar²,ar³,.....
The graph which represents the geometric sequence is attached to the answer.
Since the table of values are as follows:
x y
1 1
2 2
3 4
4 8
i.e. the sequence 1,2,4,8
form a geometric sequence.
Since the common ratio of the sequence is: 2 with first term as: 1
(first term is: 1
second term is: 1×2=2
Third term is: 2×2=4
and fourth term is: 4×2=8 )
