What is the explicit formula for the sequence that is associated with the table?
1 answer:
Answer:
see explanation
Step-by-step explanation:
Consider the values of y
, 2, 10, 50
Consider the ratio between consecutive terms
2 ÷ = 5
10 ÷ 2 = 5
50 ÷ 10 = 5
Since the ratio is common then the terms form a geometric sequence
The n th term of a geometric sequence is
= a
where a is the first term and r is the common ratio, hence
=
← explicit formula
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Answer:
The steps are are explained below.
Step-by-step explanation:
Given:
The equation of the line is given as:
The above equation is in point-slope form .
Therefore, on comparing, we get
So, the slope is one-third and point is (-2,4).
Now, following are steps for plotting the graph:
i. Plot the point (-2,4).
ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is .
iii. Draw a line passing through the points (-2,4) and (1,5) to get the graph of the line
Thus, the graph is drawn below.
