Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

Answers

Answer 1

Answer: $a_n=a_1\cdot q^(n-`1)\n\na_1=2;\ q=0.5=(1)/(2)\n\n\na_8=a_1\cdot q^(8-1)=a_1\cdot q^7\n\na_8=2\cdot\left((1)/(2)\right)^7=2\cdot(1)/(2^7)=2\cdot(1)/(128)=(1)/(64)\n\n\nAnswer:a_8=(1)/(64)$

Related Questions

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function in feet per second?
Three friends go bowling the cost per person per game is $ 5.30 the cost to rent shoes is $ 2.50 per person.Their total cost is $ 55.20 how many games did they play.
A beach has to enclose a rectangular area, because some endangered species are nesting there. They have 200 feet of rope to rope off the area with. What is the maximum area that they can rope off?
Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?
a 3-inch candle burns down in 12 hours.Assuming the candles are the same thickness and make (that is, directly proportional),how long would it take for a 1-inch candle to burn down?

The price of play equipment for the school has just been reduced by 25%. The new , reduced price of the play equipment is 1500. What is the original price before the reduction?

Answers

1775
hope this answer was right!
you multiply 1500×.25=275.00+1500=1775

Final answer:

The original price of the play equipment is $2000, if the price of it has been reduced by 25% to become $1500.

Explanation:

This question is about calculating the original price of a product considering a discount percentage. If the reduced price of the play equipment is $1500 after a 25% discount, to find the original price, you need to consider the reduced price as 75% of the original price (since the price is reduced by 25% from the original).

Therefore, you can set up the equation like this: 0.75 × original price = $1500. To find the original price, divide both sides of the equation by 0.75. The calculation would be $1500 / 0.75 = $2000. Thus, the original price of the play equipment is $2000.

Learn more about Price Calculation here:

brainly.com/question/21490944

#SPJ3

When a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?

Answers

The height of the volcano is reduced after the eruption, then the original height of thevolcano is 9670 feet.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

brainly.com/question/29306119

#SPJ5

Answer:

9,670

Step-by-step explanation:

8,219.5 ÷ 85% (0.85) = 9,670

A new community sports complex is being build in Madison. The perimeter of the rectangular playing field is 466 yards. The length of the field is 7 years less than quadruple the width. What are the dimensions of the playing field?

Answers

Answer:

The dimensions of the field is 185 yards by 48 yards

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the field.

Let the width of the field be x yards

From the question, we are made to know that the length of the field is 7 yards less than quadruple ( 4 times) the width

So mathematically, the length of the field will be ;

(4x -7) yards

The perimeter of the field mathematically is:

2(l + b)

Thus;

2(x + 4x- 7) = 466

2(5x -7) = 466

divide both side by 2

5x - 7 = 466/2

5x - 7 = 233

5x = 233 + 7

5x = 240

x = 240/5

x = 48 yards

Length of field is; 4x -7 = 4(48) -7 = 192 - 7 = 185 yards

A bicycle is on sale at $12 more than half of the regular price. If the sale price is $75, find the regular price.

Answers

The regular price of the bicycle will be $126.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a bicycle is on sale at $12 more than half of the regular price and the selling price is $75.

The regular price of the bicycle will be calculated as below:-

( P / 2 ) + 12 = 75

P + 24 = 150

P = 150 - 24

P = 126

Therefore, the regular price of the bicycle will be $126.

To know more about an expression follow

brainly.com/question/723406

#SPJ2

so 12 more than half the regular price.
let's let $p$ be the original price.

$(1)/(2) p + 12 = 75$
right?
Now you just have to solve from there.

Find the diameter of the circle that has a circumference equal to its area.2
4
8
10

Answers

Circumference may have the same numerical magnitude as area, but they will never be "equal". Circumference is a length or distance, and area is an area.
So they can never have the same units, and quantities can't be equal without
the same units.

You might say that   π D (circumference) = π (D/2)² (area) .

Then D = (D/2)²

   D = D² / 4

   1 = D / 4

   D = 4 .

But this is no more than a parlor trick. In order to do it, you need to
ignore units completely, and that's unacceptable in math.

The formula for circumference of a circle:
$C=2 \pi r$

The formula for area of a circle:
$A=\pi r^2$
r - radius

The circumference is equal to the area.
$C=A \n2 \pi r=\pi r^2 \ \ \ |/ \pi r, \ r>0 \n2=r \nr=2$

The diameter is two times the radius.
$d=2r=2 * 2=4 \n \n\boxed{d=4}$

Describe a real world situation for 40/h

Answers

Answer:

1) Assume that you covered the distance of 40 miles in "h" hours by bicycle. You need to find speed. So. speed = tex]\frac{40}{h}[/tex]

2) Assume that you have 40 pens, you wanted to give your "h" number of friends equally. The number of pens each will get $(40)/(h)$

Step-by-step explanation:

Case 1:

Assume that you covered the distance of 40 miles in "h" hours by bicycle. You need to find speed.

Distance = Speed*time

Speed = $(Distance)/(Time)$

We know the distance covered = 40 and time = h

Speed = $(40)/(h)$

Case 2:

Assume that you have 40 pens, you wanted to give your "h" number of friends equally. The number of pens each will get $(40)/(h)$

Here is the real life situation that goes with c = 40/h... You have 40 cupcakes. You give the same number of cupcakes to "h" number of people. How many cupcakes does each person have? Let c be the number of cupcakes for each person

Other Questions

In the fifth grade at Lenape Elementary School, there are 3/4as many girls as there are boys. There are 63 students in the fifth grade. How many students are girls?

The zero mark on the number line represents Maya's home. The negative numbers represent the number of feet Mayawalks from her home toward the left. The positive numbers represent the number of feet Maya walks from her hometoward the rightBСD-1000100Which point represents Maya walking 50 feet from her home toward the left?O Point APoint BPoint CO Point D

CANT GET WRONG PLZ HELPSimplify 1 + {2x - 3(1.8 divided by 0.2)} a. 2x - 26 b. 2x + 28 c. 3x - 27 d. -7x + 1

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 215, find the numbers.