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3 years ago

HELP ME FAST PLEASE

Mathematics

1 answer:

antoniya [11.8K]3 years ago

7 0

B. 28
$42 \div 1.5 = 28$

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What is the explicit rule for the geometric sequence?<br> 600, 300, 150, 75, ...

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Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

$a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}$

So, the explicit formula is for n

$\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}$

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Step-by-step explanation:

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