A <em>geometric progression</em> is a <u>sequence</u> that involves a rate, causing a change in the <u>subsequent</u> values of the <em>sequence</em> with respect to the given rate.
The <u>answers</u> to the given question are as follows:
a. It is a<em> geometric progression</em>.
b. <u>Radius</u> of the 6th circle ≅ 23. 73 ft.
c. The <em>total length</em>, l, can be determined by: l = ∑0.75, i = 1 to n.
<em>Geometric progression</em> involves a <u>change</u> in the subsequent values of a given <u>sequence</u> due to a rate. So considering the given question, the circular iceberg <em>melts</em> at a certain <u>rate</u> per hour. Thus its <em>radius</em> decreases at the given <em>rate</em> per hour.
a. Therefore it can be deduced that the question is on<em> geometric progression</em>.
b. To determine the radius of the 6th circle, the:
radius of the 1st circle = 100 ft
radius of the 2nd circle = 0.75 x 100
= 75 ft
radius of the t3rd circle = 0.75 x 75
= 56.25 ft
radius of the 4th circle = 0.75 x 56.25
= 42.1875 ft
radius of the 5th circle = 0.75 x 42.1875
= 31.640625 ft
radius of the 6th circle = 0.75 x 31.640625
= 23.73046875 ft
Thus the<u> radius</u> of the 6th circle is approximately <em>23. 73 ft</em>.
c. Since the process is assumed to continue forever, let the <u>number</u> of hours required to be represented by<u> n</u>, and each <em>radius</em> of the iceberg be represented by<em> R</em>.
So then, we can say that the <em>total length</em>, l, of all the circles' radii is will be given by:
l = ∑0.75, i = 1 to n
For more clarification on geometric progression, visit: brainly.com/question/26147596
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