3 years ago

PLEASE HELP WILL MARK BRAINLIEST!!!!

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Answer:

0.08, 1/4, 0.3, 1/3, 40%, 85%

Step-by-step explanation:

Let's start by converting everything into a decimal

0.08

0.30

40%=0.40

85%=0.85

1/3=0.33

1/4=0.25

Now we order them from least to greatest:

0.08, 0.25, 0.30, 0.33, 0.40, 0.85

0.08, 1/4, 0.3, 1/3, 40%, 85%

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What is the formula for the nth term of the given sequence 100, 20, 4, …

Naily [24]

Answer:

$a_n=100 \left(\dfrac15\right)^{n-1}$

Step-by-step explanation:

General equation of geometric sequence: $a_n=ar^{n-1}$

Given:

a₁ = 100
a₂ = 20
a₃ = 4

$\implies a_1=a=100$

$\implies a_2=100 \cdot r=20$

$\implies a_3=100 \cdot r^2=4$

Common ratio:

$r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15$

Therefore:

$a_n=100 \left(\dfrac15\right)^{n-1}$

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The answer is a. You have the correct one highlighted I believe.

Hope this helps.

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