3 years ago

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

Mathematics

2 answers:

EleoNora [17]3 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]3 years ago

5 0

Answer: 18, 10, 6, 4

You might be interested in

Write Y=4/5 x+8 in standard form using intergers

9966 [12]

Answer:

B. -4x+5y=40

Step-by-step explanation:

y * 5= (4/5 x + 8) * 5

5y = 4x + 40

-4x + 5y =40

7 0

3 years ago

Read 2 more answers

Write x^5 in expanded form

svetoff [14.1K]

Hi,

x^5 = x * x * x * x * x.

5 0

3 years ago

Alayaa crashed her car through a fence, ran over a garbage can and ran into a tree. The fence will cost $550 to repair, $50 to r

hodyreva [135]

She'll have to pay 20,605

3 0

3 years ago

A projectile is launched from the ground at an angle of theta above the horizontal with an initial speed of v in ft/s. The rang

VARVARA [1.3K]

Answer:

$\theta=24.4^\circ$

Step-by-step explanation:

The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation $x=\frac{v^2}{g} sin(2\theta)=\frac{v^2}{32ft/s^2} sin(2\theta)$ , where we will use ft for distances.

From the given equation we have then $\frac{x32ft/s^2}{v^2} =sin(2\theta)$ , which means $\theta=\frac{Arcsin(\frac{x32ft/s^2}{v^2})}{2}$ since the arcsin is the inverse function of the sin.

Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have $\theta=\frac{Arcsin(\frac{(170ft)(32ft/s^2)}{(85ft/s)^2})}{2}$ , and from now on we have just to use a calculator, obtaining $\theta=\frac{Arcsin(0.75294117647)}{2}=\frac{48.84579804^\circ}{2}=24.4^\circ$

3 0

3 years ago

Select the correct answer.

Julli [10]

Answer:

Your answer for the above equation is D

3 0

3 years ago