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Oksana_A [137]
3 years ago
13

In the final round of a TV game show, contestants have a chance to increase their current winnings of $1 million to $2 million.

If they are wrong, their prize is decreased to $500,000. A contestant thinks his guess will be right 50 percent of the time. Should he play
Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

<h2>The contestant should not play.</h2>

Step-by-step explanation:

As per the given question, their current winning is $1 million.

The probability of the guessing to be true is 50% = \frac{50}{100} = \frac{1}{2}.

There is also a possibility of 50% to be wrong, which can reduced the winning amount to $500,000 that is the half of the current amount.

Hence, the contestant should not play.

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Read 2 more answers
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.

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
Question 2 of 5
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Answer:

B

Step-by-step explanation:

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