Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...
Answers
The explicit formula for the given Geometric sequence is
The given sequence is a Geometric sequence with the first term,
a = 0.5 and the common ratio, r = -0.2.
We are supposed to find the explicit formula for this sequence.
The general formula for a Geometric sequence is given by
where a is the first term, r is the common ratio, and n is the nth term of the sequence.
Substituting a, r and n in the above formula, we get the nth term of the sequence.
Therefore, the explicit formula for the given Geometric sequence is:
.
The explicit formula for the given Geometric sequence is
.
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Related Questions
Stephen does not like yogurt very much, but he loves apples. Since both make a good snack, Stephen’s mom makes a deal with Stephen. She will keep the refrigerator stocked with 5 yogurts, 2 green apples, and 3 red apples every day. Each day, Stephen will randomly pick a snack. What is the probability Stephen will not get three yogurts on three consecutive days? Use a tree diagram or area model to show all the possible outcomes in the sample space.
Describe the dimensions of two different prisms that each have a volume of 2400 cubic centimeters. Then draw each prism.
Draw a graph that shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes?
The minimum of a parabola is located at (-1,-3).the point (9,1) Is also on the graph which equation can be solved to determine the value in the function representing the parabola?
Answers
Answer:
Number & Cost($)
Feet & Yards
Step-by-step explanation:
Number & Cost:
(2, 38), (4, 76) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (76 - 38) / (4 - 2)
= 38 / 2
= 19 <====== k the constant
y = kx
y = 19x
point (2, 38): 38 = 19(2) ===> 38 = 38
point (4, 76): 76 = 19(4) ===> 76 = 76
point (7, 133): 133 = 19(7) ===> 133 = 133
point (9, 171): 171 = 19(9) ===> 171 = 171
Feet & Yards:
(27, 9), (75, 25) <====== pick any two point to find constant
constant = (y₂ - y₁) / (x₂ - x₁)
= (25 - 9) / (75 - 27)
= 16 / 48
= 1/3 <====== k the constant
y = kx
y = 1/3x
point (3, 1): 1 = 1/3(3) ===> 1 = 1
point (12, 4): 4 = 1/3(12) ===> 4 = 4
point (27, 9): 9 = 1/3(27) ===> 9 = 9
point (75, 25): 25 = 1/3(75) ===> 25 = 25
Answers
5 is a prime number so you'll divide 10 into 5 and 2. So 2x5x5=50 :)
Answers
f (9) = 5 - 2 (9)
f (9) = 5 - 18
f (9) = - 13
f (9) + 3 = - 13 + 3
f (9) + 3 = - 10
Answer:
the answer is -10
Step-by-step explanation:
fish population changs over time. The population is changed by birth, death,
and migration of fish. While the supply of fish (population growth) can be
modeled with a linear equation, so can the demand of fish (the amount caught).
In one commercial venture, fishermen recorded their daily catch in an ocean
fishery. Using their data, the demand model for the total number y of fish caught
for x days is y = 349x + 50. What is the meaning of the slope?
Answers
Using linear function concepts, it is found that the slope of 349 means that each day, the number of fish caught increases by 349.
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the equation for the number of fish caught after x days is given by:
The slope is of 349, which means that each day, the number of fish caught increases by 349.
You can learn more about linear function concepts at brainly.com/question/16302622
Add 6 to each side of the equation.
Multiply both sides of the equation by 12 .
Add 36 to each side of the equation.
Answers
Answer:
Option C is correct
Multiply both sides of the equation by
Step-by-step explanation:
Given the equation:
Multiply both sides by we get;
Simplify:
Subtract 16 from both sides we have;
Therefore, the first step to solve the equation by completing the square is,
Multiply both sides of the equation by
Answers
A rectangle is a quadrilateral which has two pairs of parallel sides.
The explanation in points is written below:
1. A rectangle is a quadrilateral with four sides and four angles.
2. Opposite sides of a rectangle are congruent (equal in length) and parallel.
3. This means that there are two pairs of sides that are parallel to each other.
4. The pairs of parallel sides are the top and bottom sides, and the left and right sides of the rectangle.
To summarize, a rectangle has two pairs of parallel sides: the top and bottom sides, and the left and right sides. This property is a defining characteristic of rectangles.
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