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Anit [1.1K]
3 years ago
13

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

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

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.

as

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

g_1=-5

r=5

so

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.

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3 years ago
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How is "y more than 4 is -36" written and what is the answer ​
Crazy boy [7]

Answer:

y+4=-36 and the answer is y=-40

Step-by-step explanation:

So the word is means equals, meaning we can change it to say

"y more than 4 = -36

and more than means addition so we can put a plus sign there and we get

y+4=-36

then to solve this equation we need to get y by itself on one side and to do that we can move the 4 to the other side by subtracting it on both sides to cancel out the addition and we get y=-40

I hope this helps and please don't hesitate to ask if there is anything still unclear!

8 0
2 years ago
Did I do it rightly?
Andreas93 [3]
Yes. If the segment only has 2 points, it can be named both ways.
3 0
3 years ago
What is the following product
dangina [55]

Option B is correct.

Step-by-step explanation:

We need to solve: \sqrt[3]{x^2}\sqrt[4]{x^3}

We know that: \sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}

Applying the above rule:

\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}

So, Option B is correct.

Keywords: Solving with Exponents

Learn more about Solving with Exponents at:

  • brainly.com/question/4934417
  • brainly.com/question/13174254
  • brainly.com/question/13174255

#learnwithBrainly

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Hospital A has treated 156 cases of E. coli infection in the past year. Hospital B has treated 51 fewer cases. How many cases di
solniwko [45]

Answer:

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Step-by-step explanation:

Subtract 156-51

Fewer shows subtraction

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