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arushiverma555

arushiverma555

12.07.2019 •

Mathematics

Which sequence is modeled by the graph below?
coordinate plane showing the points 1, 6; 2, 0.6; and 3, 0.06

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 6;

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Ответ:

chris3487

12.03.2022

$\large\boxed{a_n=6\left(\dfrac{1}{10}\right)^{n-1}}$

Step-by-step explanation:

Check:

$n=1\\\\a_1=6\left(\dfrac{1}{10}\right)^{1-1}=6\left(\dfrac{1}{10}\right)^0=6(1)=6\qquad\bold{CORRECT}\ (1,\ 6)\\\\n=2\\\\a_2=6\left(\dfrac{1}{10}\right)^{2-1}=6\left(\dfrac{1}{10}\right)^1=6\left(\dfrac{1}{10}\right)=\dfrac{6}{10}=0.6\qquad\bold{CORRECT}\ (2,\ 0.6)\\\\n=3\\\\a_3=6\left(\dfrac{1}{10}\right)^{3-1}=6\left(\dfrac{1}{10}\right)^2=6\left(\dfrac{1}{100}\right)=\dfrac{6}{100}=0.06\qquad\bold{CORRECT}\ (3,\ 0.06)$

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Ответ:

maddie306

12.03.2022

$a_n=6\left(\frac{1}{10}\right)^{n-1}$

Option 3 is correct

Step-by-step explanation:

The coordinates are (1,6) (2,0.6) and (3,0.06)

If we make table of given coordinate:

x : 1 2 3

y : 6 0.6 0.06

a_1=6,a_2=0.6,a_3=0.06

Ratio of the sequence:

$r=\dfrac{a_2}{a_1}=\dfrac{0.6}{6}=0.1$

Formula of geometric sequence:

$a_n=ar^{n-1}$

$a_n=6\cdot 0.1^{n-1}$

$a_n=6\left(\frac{1}{10}\right)^{n-1}$

Hence, The sequence model by $a_n=6\left(\frac{1}{10}\right)^{n-1}$

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Ответ:

UltimateGoal

16.05.2021

3.86 because when we divide it we get 3.857 and the 7 converts the five into a 6

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