Answer:
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Step-by-step explanation:
- <em><u>7</u></em><em><u>8</u></em>
- <em><u>8</u></em><em><u>5</u></em>
- <em><u>1</u></em><em><u>0</u></em>
- <em><u>5</u></em>
- <em><u>1</u></em><em><u>9</u></em>
- <em><u>3</u></em>
- <em><u>2</u></em><em><u>5</u></em>
- <em><u>8</u></em>
- <em><u>6</u></em><em><u>2</u></em>
- <em><u>0</u></em>
The equation could be used to calculate the sum of the geometric series is 
<h3>Sum of geometric sequence</h3>
Geometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:

where
- a is the first term
- n is the number of terms
- r is the common ratio
From the given sequence
a= 1/3
r = 2/9 * 3 = 2/3
Substitute into the formula

Hence the equation could be used to calculate the sum of the geometric series is 
Learn more on geometric series here; brainly.com/question/24643676
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
Learn more about Equations:
brainly.com/question/16450098
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