A sequence is defined recursively by f(1)=16 and f(n)= f(n-1)+2n. Find f(4)

Answers

Answer 1

Answer: Hi,

f(1)=16
f(2)=f(1)+2*2=16+4=20
f(3)=f(2)+2*3=20+6=26
f(4)=f(3)+2*4=26+8=34

Related Questions

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (U/V) (x)?a) x3 – x2b)–x3 + x2c)–x3 + x2 – 1d)x3 – x2 + 1
Rewrite the expression in the form a^n a^5xa^-3
a stuntman uses a 30 foot rope to swing 136 degrees between two platforms of equal height, grazing the ground in the middle of the swing. If the rope stays taut throughout the swing, how far above the ground was the stuntman at the beginning and the end of the swing?
A garden has 2500 trees. Out of which, 15 percent are Orange trees, 30 percent are mango trees, and the rest are lemon trees. Find the number of each variety of tree. a) Orange trees: 375, Mango trees: 750, Lemon trees: 1375 b) Orange trees: 400, Mango trees: 800, Lemon trees: 1300 c) Orange trees: 450, Mango trees: 900, Lemon trees: 1150 d) Orange trees: 500, Mango trees: 1000, Lemon trees: 1000
an edge of cube a is 8 inches and an edge of cube b is 5 inches to the nearest tenth how many times greater is the volume of cube a than cube b

Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?

Answers

Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

PLEASE HELP, BEING TIMED, WILL GIVE BRAINLIEST!!!! Mr. Romero attached a ramp to the base of a window sill so that the family cat could more easily climb onto it. The ramp is 84 inches long. The window sill is 50 inches above the floor. What is the distance from the base of the ramp to the base of the wall?

Answers

The distance from the base of the ramp to the base of the wall will be 67.5 inches.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

By using Pythagoras' theorem

D² = 84² - 50²

D = √ 84² - 50²

D = √4556

D = 67.5 inches

Therefore the distance from the base of the ramp to the base of the wall will be 67.5 inches.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

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Answer:

$x=\sqrt{84^(2)-50^(2) } =√(7056-2500) =67.5 inches$

What is the probability of rolling an odd number on a fair 6-sided number cube?

Answers

$\Omega=\{1;\ 2;\ 3;\ 4;\ 5;\ 6\}-all\ results\n|\Omega|=6\n\nA=\{1;\ 3;\ 5\}-odd\ numbers\n|A|=3\n\nP(A)=(|A|)/(|\Omega|)\to P(A)=(3)/(6)=(1)/(2)=0.5$

Answer: 0.5

A hummingbird is flying toward a large tree that has a radius of 6 feet. When it is 33 feet from the center of the tree, its lines of sight form two tangents. What is the measure of the arc on the tree that the hummingbird can see?

Answers

Answer:

Length of the arc = 5.25017 feet

Step-by-step explanation:

The line from the middle of the tree to the tip of the tangent lines is 33 ft and from the circumference of the tree its 27ft. One of the right angle triangles is picked and the angle is determined using SOHCAHTOA

Hence Tan X = 6/27

X = Tan-1 (6/27) = 12.52880770915o

Hence both sum of angles where tangent lines meet = 2 x 12.52880770915o = 25.05761541830o

Angle of the arc inside the circle = 50.115o

Length of the arc = 50.115/360 x (2x22/7 x 6) = 5.25017040025ft

Suppose U=(-1,-2,-3,4,5,6,7,8) is the universal set and X=(-2,4,6,8) what is x?

Answers

Ir results that X is a subset of U.

I need to know what rule represents the enlargement of a figure

Answers

Answer:

The correct option is;

(x, y) → (215·x, 215·y)

Step-by-step explanation:

An enlargement is a form of transformation involving an alteration of the size of the shape. When a shape is to be enlarged, the center of the shape is noted and the enlargement of the dimensions of the shape from that center is by multiplication of each point by the factor of the enlargement or the scale factor.

Therefore, based on the requirement for enlargement, and given the dimension of the point from the center as (x, y) the enlargement then is (215·x, 215·y), where 215 is the scale factor.

Answer:

A. (x, y) → (215x, 215y)

Step-by-step explanation:

Enlargement of a figure is the process of increasing the size of a given figure by the use of a scale. It requires the use of a scale factor that is greater than 1 to form an image. This is called dilation in transformation.

Transformation is the process of manipulating the size or orientation of a figure. To enlarge a shape, a center of enlargement is required.

Thus, the rule that signifies enlargement of a figure is ;

(x, y) → (215x, 215y)

This implies multiplying the initial coordinate x and y by a factor of 215 to produce a required size of an image.

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