All categories

3 years ago

Find the first six terms of the sequence. a1 = 4, an = 2 • an-1

1 answer:

8 0

<span>a1 = 4, an = 2 â€˘ an-1 a1 = 4 a2 = 2* a2-1 = 2*a1 = 2*4 = 8 a3 = 2* a3-1 = 2*a2 = 2*8 = 16 a4 = 2* a4-1 = 2*a3 = 2*16 = 32 a5 = 2* a5-1 = 2*a4 = 2*32 = 64 a6 = 2* a6-1 = 2*a5 = 2*64 = 128 The first six terms of the sequence are 4, 8, 16, 32, 64, and 128.</span>

You might be interested in

In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.

Natalka [10]

Answer:

a. $\frac{1}{36}$ chance you win.

b. The expected value of the game is -$2.08.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

You roll 2 die and if you toss 2 sixes

For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:

$p = (\frac{1}{6})^2 = \frac{1}{36}$

a. What is the chance you win?

$\frac{1}{36}$ chance you win.

b. What is the expected value of the game?

1/36 probability of winning 100.

35/36 probability of losing 5. So

$E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08$

The expected value of the game is -$2.08.

7 0

2 years ago

What is the measure of x in degrees ?

mr Goodwill [35]

Answer:

x = 35°

Step-by-step explanation:

Same side interior angles are supplementary, or they add up to 180°. So write an equation:

$x+145=180$

Solve for x. Subtract 145 from both sides:

$x+145-145=180-145\\\\x=35$

The value of x is 35°.

:Done

8 0

2 years ago

In the rectangular prism above, BF = 20 units, EF = 11 units, and BC = 9 units. If the rectangular prism is divided into two par

Blababa [14]

The right answer for the question that is being asked and shown above is that: "D. a rectangle with a length of 20 units and a width of 11 units." This is the statement that <span>best describes the resulting cross-section of the prism</span>

8 0

3 years ago

Skyler goes to a school which has 1000 students in it. She asks 40 random students whether they like the new 8.30am start to the

fenix001 [56]

Answer:

100/40=25

25*30=750

so 750 students would dislike the new starting time.

I really hope this was correct and helpful. I tried my best.

7 0

3 years ago

Select the most specific name for the quadrilateral shown.

ludmilkaskok [199]

Answer:

Square

Step-by-step explanation:

square - (geometry) a plane rectangle with four equal sides and four right angles

6 0

2 years ago