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Eva8 [605]
2 years ago
8

Lesson 1 Homework

Mathematics
1 answer:
Nonamiya [84]2 years ago
5 0

128

This question requires us to solve an infinite GP

As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as  

64(1,0.5,0.25,0.125,....\infinity∞)  (64 used as 16*4 = 64 is the area of the first rectangle)

We have  S∞=a/(1-r) where a is the first term and r is the common ratio of the GP for summing an infinite GP.

here we have  

a=64  \\   r=0.5

Therefore

S∞=\frac{64}{1-0.5} \\\\=\frac{64}{0.5} \\\\=128

Learn more about GP here

brainly.com/question/16954106

#SPJ9

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