Find the next two terms. 2, 10, 50, ?, ?

Mathematics

2 answers:

Setler79 [48]3 years ago

3 0

Hi there!

The next 2 terms are 250 and 1,250.

We have a geometric sequence, which means we use multiplication or division to get to the next term.

Here, we multiply by 5 to get to the next term.

So we multiply 50 by 5:

50*5=250

We multiply 250 by 5 to get to the next term:

250*5=1,250

And we're done!

<h2>Therefore, the next two terms are: 250 and 1,250.</h2>

Hope this helps!

~Just a felicitous girlie

#HaveASplendidDay

$SilentNature :)$

emmasim [6.3K]3 years ago

3 0

Answer:

250, 1250

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 5 gives the next term.

Hope that helps!

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hichkok12 [17]

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seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$