The values of a1 and d for the given sequence are a1=2 and d=3.
Since the points of the graph form an arithmetic sequence, the values of a1 and d are determined.
What is meant by the graph of an arithmetic sequence?
- The graph of an arithmetic sequence forms a set of discrete points lying on a straight line.
- This states that an arithmetic sequence is a linear function.
- In the sequence, every consecutive term is differed by a common value called common difference (d)
- The terms in the sequence are given as a1, a2, a3,..., an
- Common difference [tex]d=a_n-a_{n-1}[/tex]
- In the graph, y values in each point represent the sequence.
Calculating the required values from the graph of points:
Since the point in the graph forms a straight line (linear graph), this is an arithmetic sequence.
Points are given as
A- (1,2)
B- (2,5)
C- (3,8)
D- (4,11)
E- (5,14)
D- (6,17)
So, from this sequence of the point, we can write
a1=2, a2=5, a3=8, a4=11, a5=14, a6=17
Then, the difference (d) is
d=a2-a1
=5 - 2
=3
we can also obtain this from a3-a2=8-5=3 and so on.
Therefore, option C: a1=2 and d=3 is true.
Thus, the values are a1=2 and d=3.
Learn more about the graph of arithmetic sequences here:
https://brainly.com/question/14267567
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