The explicit rule will be an = 1/3 + (n - 1)
<h3>An explicit formula for a sequence</h3>
Given the following information
a2 = a1 + 1
a2 = 4/3
For the third term
a3 = a2 + 1
a3 = 4/3 + 1
a3 = 7/3
The resulting seqence is 1/3, 4/3, 7/3
The sequence is an arithmetic sequence
a = 1/3
d = 1
The explicit rule will be an = 1/3 + (n - 1)
Learn more on explicit rule here: brainly.com/question/2059043
Answer/Step-by-step explanation:
Part A:
Evidence 1: the line passes through the point of origin, (0, 0)
Evidence 2: it has a unit rate or constant of proportionality, k = y/x = 5/3
Part B:
When extended, if the ray passes through the point, (18, 30), then y/x of this point, should give us the same unit rate (k) of 5/3 of the graph.
Thus:
y/x = 30/18
Simplify
= 5/3
Thus, it has the same unit rate of the graph, therefore, the ray passes through the point (18, 30).
If the groups are all made up of 10 pennies and she added 5 groups, then
5 x 10 = 50
Which means she added 50 pennies to the jar and now has 150 pennies. :)
Answer:
<u><em> x = 42, hoped this helped</em></u>
