Mathematics: Evaluate s5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Evaluate s5 for 300 + 150 + 75 + … and select the - id5300150751776237, zoewilliamss26

Ответ:

legendman27

30.12.2021

It's a geometric sequence.

$300, 150, 75,... \\ \\ a_1=300 \\ r=\frac{a_2}{a_1}=\frac{150}{300}=\frac{1}{2} \\ \\ S_n=\frac{a_1 (1-r^n)}{1-r} \\ \Downarrow \\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}=\frac{\frac{2325}{8}}{\frac{1}{2}}=\frac{2325}{8} \times 2= \\
=\frac{2325}{4}=581 \frac{1}{4}=581.25$

The answer is 581.25.

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Ответ:

lizzy2951

13.01.2021

Mathematics

Amount earned=amount earned per hour times time (h)
minus the cost for gas to find the end

so amount earened per hour is 9.25
h=time
and 7.5=amount spent

so

moneymade=9.25h-7.5

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Evaluate s5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

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