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Nastasia [14]
2 years ago
9

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics
1 answer:
kramer2 years ago
5 0

Given:

The sequence is:

16,80,400,...

To find:

The 6th term of the given sequence.

Solution:

We have,

16,80,400,...

Here, the first term is:

a=16

The ratio between consecutive terms are:

\dfrac{80}{16}=5

\dfrac{400}{80}=5

The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.

The nth term of a geometric sequence is:

a_n=a(r)^{n-1}

Where, a is the first term and r is the common ratio.

Substitute a=16,r=5,n=6 to get the 6th term.

a_6=16(5)^{6-1}

a_6=16(5)^{5}

a_6=16(3125)

a_6=50000

Therefore, the 6th term of the given sequence is 50000.

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Discrete domains and continuous domains are both sets. However a discrete domain contains a finite number of elements and continuous can contain and infinite number of elements.
6 0
2 years ago
If x varies directly with y and x=6 when y=8, find x when y=18.
andrey2020 [161]

Answer:

x = 13.5

Step-by-step explanation:

direct variation

y = kx

substitute x and y to find k

8 = k*6

divide by 6

8/6 =k

4/3 = k

y = 4/3 x

now put in y =18

18 = 4/3 x

 multiply by 3/4

18 * 3/4 = 3/4 * 4/3 x

54/4 = x

change to a decimal

13.5 =x


6 0
3 years ago
-6x-4(-7x-13)=-58 <br> What the answer
taurus [48]

-6x-4(-7x-13)=-58

Multiply the bracket by -4

-6x-4(-7)-4(-13)= -58

-6x+28x+52= -58

22x+52= -58

Move +52 to the other side. Sign changes from +52 to -52.

22x+52-52= -58-52

22x= -110

Divide by 22.

22/22x= -110/22

x= -5

Answer: x= -5

4 0
3 years ago
Which comparison is not correct?
strojnjashka [21]

Answer:

the 2 one is wrong

Step-by-step explanation:

the 2 would be greater than the 9 sense both the numbers are negative and the bigger the negative number is the less amount it is so -9 is smaller than -2

8 0
2 years ago
Here is a table of values y = f(x)
Rama09 [41]

A. Yes, the value of this function is 8 when x is 15.

B. False. I noted right away that the ordered pair (0,5) is not included, and some of the ordered pairs included do not represent the given function.

C. Yes, f(5) = 6. See (A) above.

D. False. The range of this function is the set of integers between 5 and 13 inclusive.

4 0
3 years ago
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