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3 years ago

There are more rational numbers than irrational numbers

Mathematics

1 answer:

777dan777 [17]3 years ago

3 0

Yes, there are more rational numbers than irritational numbers

HOPE THIS HELPS!!

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

3 years ago

Please answer in detail

sammy [17]

Answer:

y=5x-1 I think because the snd option doesn't make sense but you should try y =5x-1

8 0

2 years ago

A cube has an edge length of 5 inches. Determine the total surface area of the cube.

KonstantinChe [14]

Answer:

Step-by-step explanation:

surface area=4 *x²+2 x²=6x²=6 ×5²=150 sq. in.

5 0

3 years ago

Hi anyone can help me do this question?

lakkis [162]

Answer:

6+18=24+16=40 Top one 3+3=6+8=14

Step-by-step explanation:

Easy by adding

5 0

2 years ago

What is the range of possible sizes for side x?<br> 3.2<br> x<br> 5.5

ladessa [460]

Answer: try multiplication for the answer or use photomath

Step-by-step explanation:

3 0

2 years ago