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SpyIntel [72]
3 years ago
12

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

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

D

Step-by-step explanation:

the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)

the formula for an explicit geometric formula is :

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

plug in your numbers :

a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}

You might be interested in
Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

__

Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

7 0
2 years ago
The summit of a mountain pass is 8,050 ft above sea level. the valley below is 12 and 1/2 ft below sea level. what is the vertic
Veseljchak [2.6K]

Answer:

Vertical distance between the valley and the summit = 8062.5 ft

Step-by-step explanation:

Distances above the sea level are denoted by positive notations and below the sea level by negative notation.

Summit of a mountain pass = 8050 (above the sea level)

Valley below the sea level = 12 and half ft = (-12.5) ft

Distance between the summit and the valley = 8050 - (-12.5)

                                                                           = 8050 + 12.5

                                                                           = 8062.5 ft

Therefore, Vertical distance = 8062.5 ft will be the answer.

5 0
3 years ago
On Monday, three hundred forty students went on a trip to the zoo. All eight buses were filled and four
VMariaS [17]

Answer:

42.5

Step-by-step explanation:

divide it by 8.

5 0
3 years ago
Read 2 more answers
5. A map is drawn to a scale of 3:750.
Ainat [17]

Answer:

23.1m

Step-by-step explanation:

we define x to be the actual distance, y to be the distance on map (y=15.4cm)

if the map scale is 3:750, then by definition of scaling, x and y must satisfy:

\frac{y}{x}  =  \frac{3}{750}  =  \frac{1}{150}

we isolate x:

x = 150 \times y = 150 \times 15.4 = 2310cm = 23.1m

7 0
2 years ago
Need help with 9 and 12(theirs a picture)
Doss [256]

Number 6 is incorrect. Remember when you see -(-1) that is addition because you are subtracting a negative from a negative so you take the negative sign away and you have a positive. The correct answer to 6 is -75. For number 9 the first thing that you are gonna do is distribute that negative sign to the -12 in parentheses. This will make it a positive 12 which leaves you with

-8+12-31=-27

Next for number 12 you will distribute the - sign onto the -9 in parentheses and the -16 in parentheses. This will leave you with -16+9+16=9

Hope that this helped!

8 0
3 years ago
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