What shape is the base of a pentagonal pyramid ?
1 answer:
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Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
now substituting r = 2 and a₁ = 7 in the nth term
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
So the slope is:
Thus, the equation of the line is of the form:
We substitute one of the points and find "b":
Finally, the equation is:
Answer: