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kogti [31]
2 years ago
12

Find the first four terms of the sequence given a1=18 and an+1=2+an/2.

Mathematics
2 answers:
EleoNora [17]2 years ago
7 0

Answer:

Step-by-step explanation:

hello

a_1=18\\\\a_2=2+\dfrac{a_1}{2}=2+\dfrac{18}{2}=2+9=11\\\\a_3=2+\dfrac{a_2}{2}=2+\dfrac{11}{2}=\dfrac{4+11}{2}=\dfrac{15}{2}\\\\a_4=2+\dfrac{a_3}{2}=2+\dfrac{15}{2}=\dfrac{4+15}{2}=\dfrac{19}{2}

hope this helps

Ksivusya [100]2 years ago
5 0

Answer: 18, 10, 6, 4

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PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

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2 years ago
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1. a = 8

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3. c = 2 \frac{3}{5}

4. d = \frac{13}{50}

Step-by-step explanation:

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This is for today help pls!!!
ryzh [129]

Answer:

Perimeter=25 units

Area= 43 units^2

Step-by-step explanation:

one side = 5 units so perimeter is 5x5=25

split into 5 equal triangles

base =5, height =3.44, formula for area=(base)(height)(0.5)

area of each triangle =(5)(3.44)(0.5)=8.6

entire area=5(8.6)=43

6 0
3 years ago
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