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3 years ago

Which of the following are equations?

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

X/4=8
14=3(x)
-3+x=14

Explanation

equations have equal signs

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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

4 years ago

Your mother takes u to your grandparents house for dinner. She drives 60 mins at a constant speed of 40 mph. She reaches the hig

vlabodo [156]

Distance formula distance=speed×time

8 0

4 years ago

Read 2 more answers

Which expression is equivalent to 8a + 12b?

Jet001 [13]

Answer:

4 (2 a + 3 b)

Step-by-step explanation:

Simplify the following:

8 a + 12 b

Factor 4 out of 8 a + 12 b:

Answer: 4 (2 a + 3 b)

4 0

3 years ago

Find x so the distance between ( x , 4 ) and ( 3 x + 1 , − 4 ) is 10

Sonja [21]

Answer:

3456

Step-by-step explanation:

3 0

3 years ago

1) Apples cost $16 for an 8 pound bag at the local price

bija089 [108]

Answer:

4 pounds with a membership

29 pounds without

i just added both because i didnt know if you meant 58 extra dollars after bbuying membership or not

Step-by-step explanation:

58 -50(membership fee)=8

16 divide by 8=2

16$=8 pounds

8$=4 pounds

---------------------------------------

without membership you could buy 29 pounds of apples

58 divide by 16=3.625

3.625 x 8=29

3 0

1 year ago