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Rama09 [41]
3 years ago
7

Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

31/16

or

1 15/16

Step-by-step explanation:

1/8 = 2/16

1/4 = 4/16

1/2 = 8/16

1 = 16/16

then:

1 + 1/2 + 1/4 + 1/8 + 1/16

= 16/16 + 8/16 + 4/16 + 2/16 + 1/16

=(16+8+4+2+1)/16

= 31/16

31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16

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Leya [2.2K]

Answer:

Step 1: 8 + 16x Step 2: 4(4) + 4(12x) Step 3: 4(4 + 12x) Step 4: Dimensions of the rectangle are 4 and 4 + 12x In which step did the student first make an error and what is the correct step? Step 3; 4 + (4 + 12x) Step 3; 4 + (4 ⋅ 12x) Step 2; 4(2) + 4(4x) Step 2; 4(2) + 4x(2)

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2 years ago
Find x in this proportion.<br> 5/2x =25/4 <br> x =<br><br> 2/5<br> 5/2<br> 4/5<br> 8/5
Ymorist [56]

Answer:

2/5

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make it reciprocal

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4 0
3 years ago
A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa
lyudmila [28]

The kids have to wait for 1 hour to get their bags.

<u>Step-by-step explanation:</u>

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

  • The speed of the bus was 60 mph.
  • It took kids 3 hours to reach the camp.

<u>To find the distance traveled by the bus :</u>

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

<u>To find the time taken by the truck to reach the camp :</u>

  • The speed of the truck was 45 mph.
  • We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

<u>To find how long the kids have to wait for their bags :</u>

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

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7 0
3 years ago
Select the correct answer.
AlladinOne [14]
It is graph w because it starts at a price of 40 and goes up by 20 every hour.
5 0
3 years ago
Find the area of the circle whose equation is x2+y2=6x-8y​
Semenov [28]

Answer:

Given that the equation of a circle is :

\green{ \boxed{\boxed{\begin{array}{cc}  {x}^{2}  +  {y}^{2}  = 6x - 8y \\  =  >  {x}^{2}  +  {y}^{2}   - 6x + 8y = 0 \\  =  >  {x}^{2}  +  {y}^{2}  + 2 \times ( - 3) \times x + 2 \times 4 \times y = 0 \\  \\  \sf \: standard \: equation \: o f \: circle \: is :  \\   {x}^{2}  +  {x}^{2}  + 2gx + 2fy + c = 0 \\  \\  \sf \: by \: comparing \\  \\ g =  - 3 \\ f = 4 \\ c = 0 \\  \\  \sf \: radius \:  \: r =  \sqrt{ {g}^{2}  +  {f}^{2} - c }  \\  =  \sqrt{ {( - 3)}^{2} +  {4}^{2} - 0  }  \\  =  \sqrt{9 + 16}  \\   = \sqrt{25}  \\  = 5 \: unit \\  \\  \bf \: area \:  = \pi {r}^{2}  \\  = \pi \times  {5}^{2}  \\  =\pink{ 25\pi \:  { unit }^{2} }\end{array}}}}

6 0
3 years ago
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