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frozen [14]
3 years ago
13

The first two terms in a sequence are 3 and 15. What is the next value if this sequence is geometric?

Mathematics
1 answer:
uysha [10]3 years ago
3 0

Answer:

75

Step-by-step explanation:

Geometric means you should think common ratio (words like multiplication or division).

First term=3

Second term=15

What can you multiply to first to give you second term? Please say 5! Yes 5! Why? Because 3*5=15.

So 5 is called the common ratio.  5 is the number that you will multiply to a term to find the very next term.

So the third term would be 15*5=75

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Murrr4er [49]

Answer:

About 13

Step-by-step explanation:

There's no equation shown, but you can guesstimate and say it's between 10 and 20, so about 13 makes sense

3 0
4 years ago
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(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
lana [24]

Given:

The sequence is:

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

The given sequence can be written as

\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...

The sign are alternative and the absolute value of each term can be defined by the expression \dfrac{17}{n^3}, where n is a natural number.

So, the required formula is:

a_n=(-1)^{n+1}\dfrac{17}{n^3}

Therefore, the formula for nth term in the given sequence is a_n=(-1)^{n+1}\dfrac{17}{n^3}.

8 0
3 years ago
What time is 5 3/4 hours after 11:32 pm?<br> Please show work, thank you.
poizon [28]

we have to first convert fraction of hours into minutes

1 hour is equivalent to 60 minutes

then 3/4 hour is - 3/4 of 60

when the of function is used we have to multiply the 2 numbers

then \frac{3}{4} * 60 = \frac{3*60}{4} = \frac{180}{4} = 45

3/4 of an hour is equivalent to 45 minutes

then we have to add 5 hours and 45 minutes to 11.32 pm

add 5.45 to 11.32


11.32

5.45 +

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16.77

then its 16 hours and 77 minutes

an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours

16 hours + 1 = 17 hours 

77 minutes - 60 minutes = 17 minutes

17 hours 17 minutes

time is given in pm therefore its a 12 hour clock

so we have to subtract 12 hours from 17 hours 17 minutes

17.17 hours - 12 hours = 5.17

the new time is 5.17 am of the next day



8 0
3 years ago
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What is y= 6/5x+9 written in standered form?
8090 [49]
Standard form, move the variables to the left-hand-side, leave the constant on the right-hand-side, usually the "x" comes first,

\bf y=\cfrac{6}{5}x+9\implies -\cfrac{6}{5}x+y=9
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Michelle says that 4,902 x 0.001 is the same as 4,902 ÷ 10³
Tcecarenko [31]

Answer:

Michelle is correct.

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The statement Michelle said is valid and correct since 10 to the power of 3 in the denominator is equivalent to 0.001 in the numerator.

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