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Sergio [31]
3 years ago
13

What is the explicit formula for this geometric sequence?8,4,2,1

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

C

the n th term formula ( explicit formula ) for a geometric sequence is

a_{n} = a_{1}(r)^{n-1}

where r is the common ratio and a_{1} the first term

here a_{1} = 8 and r = \frac{4}{8} = \frac{2}{4} = \frac{1}{2}

a_{n} = 8(\frac{1}{2})^n - 1  → C


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A scientist had 3/4 of a bottle of a solution. She used 1/6 of the solution in a experiment. How much of the bottle didi she use
Rashid [163]

Answer:

1/8

Step-by-step explanation:

1/6 × 3/4

Multiply across top, then bottom

1×3=3

6×4=24

Then reduce if necessary.

3/24

Divide top and bottom by 3

3÷3=1

24÷3=8

You should get 1/8

5 0
3 years ago
Solve the system by the substitution method.<br> x-2y = -2<br> y = - 3x + 8
aliina [53]

x-2y = -2

x-2(-3x+8)=-2

mutiply the bracket by -2

(-2)(-3x)=6x

(-2)(8)=-16

x+6x-16=-2

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move -16 to the other side

sign changes from -16 to +16

7x-16+16=-2+16

7x= -2+16

7x= 14

divide both sides by 7

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x=2

Find y by using the substitution method

y=-3x+8

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Answer:(2,2)

6 0
3 years ago
URGENT URGENT helppps plz
Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector =  \frac{270}{360}×pi×15×15

                          = 168.75pi

1) Smaller sector = \frac{360-270}{360}×pi×15×15

                             = \frac{90}{360}×pi×15×15

                             = 56.25pi

2) Bigger sector =  \frac{270}{360}×3.14×15×15

                           = 529.875

2) Smaller sector = \frac{360-270}{360}×3.14×15×15

                             = \frac{90}{360}×3.14×15×15

                             = 176.625

6 0
3 years ago
What is the overall charge of phosphide
Nuetrik [128]

Answer:

negatively charged

Step-by-step explanation:

4 0
2 years ago
25 tons equals how many pounds?
charle [14.2K]

It equals 50,000 pounds

6 0
3 years ago
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