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The recursive definition for the geometric sequence is given as follows:
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
The recursive definition of a geometric sequence is given by:
In this problem, we have that the first term and the common ratio are given, respectively, by:
.
Hence the recursive definition is given by:
More can be learned about geometric sequences at brainly.com/question/11847927
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The surface area of the pencil is the amount of space it covers
The surface area of the pencil is 61 square centimeters
<h3>How to determine the surface area?</h3>The given parameters are:
H = 20 cm
L = 0.5 cm
The surface area (SA) is then calculated as:
SA = 6LH + 3L^2
This gives
SA = 6 * 0.5 * 20 + 3 * 0.5^2
Evaluate the sum
SA = 61
Hence, the surface area of the pencil is 61 square centimeters
Read more about surface area at:
The circumference of a circle with radius is
So, one quarter of a circumference will be
You radius is 6, so we have