Mathematics: The penguin exhibit at a zoo has a raised circular island that is surrounded by water. the diameter of the island is 20 meters. one penguin swims half way around the island before hopping out.how far did the penguin swim?

Given:The geometric series is defined by a = a₁ = -4r = 2The n-th term isBecause the n-th term is -128, therefore-4(2ⁿ⁻¹) = -1282ⁿ⁻¹ = 32 = 2⁵n-1 = 5n = 6The sum of the first n terms isTherefore -252...

The penguin exhibit at a zoo has a raised circular

Ответ:

squirt3747

01.06.2020

Mathematics

10pi

Step-by-step explanation:

The answer is 10pi

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Ответ:

vanessaharlan01

07.05.2021

Mathematics

Given:
The geometric series is defined by
a = a₁ = -4
r = 2

The n-th term is
$a_{n} = ar^{n-1}$
Because the n-th term is -128, therefore
-4(2ⁿ⁻¹) = -128
2ⁿ⁻¹ = 32 = 2⁵
n-1 = 5
n = 6

The sum of the first n terms is
$S_{n} = \frac{a(1-r^{n})}{1-r}$

Therefore
$S_{n} = \frac{-4(1-2^{6})}{1-2} =4(1-64) = -252$

-252

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The penguin exhibit at a zoo has a raised circular island that is surrounded by water. the diameter of the island is 20 meters. one penguin swims half way around the island before hopping out.how far did the penguin swim?

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