The explicit rule of the arithmetic sequence is fₙ = 3 + 2(n-1) which is correct option(B).
What is arithmetic sequence?
An arithmetic sequence is defined as an arrangement of numbers which is particular order.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
According to the graph, we get the sequence
3, 5, 7, 9, ...
Here,
a₁ = 3 is the first element.
An arithmetic sequence has a constant difference 'd' and is defined by
fₙ = a₁ + (n-1)d
computing the differences of all the adjacent terms
5 - 3 = 2, 7 - 5 = 2, 9 - 7 = 2
The difference between all the adjacent terms is the same and equal to
d =2
substituting a₁ = 3 and d = -2 in the nth term of the sequence
fₙ = a₁ + d(n-1)
fₙ = 3 + 2(n-1)
Hence, the explicit rule of the arithmetic sequence is fₙ = 3 + 2(n-1).
Learn more about arithmetic sequence here:
brainly.com/question/21961097
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