All categories

3 years ago

If r = 2 and a6 = 96 find the first term of geometric sequence.

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

If r=2, that means that each term in the geometric sequence is multiplied by 2.

So, if r=2, and the sixth term in the sequence is 96, then simply divide by 2 until you get to the first term.

Which is 3.

You might be interested in

Which expression represents the volume of the prism?

artcher [175]

Answer: V = B · h

<u>Step-by-step explanation:</u>

Volume (V) = Area of the base (B) × height (h)

The Area of the base (B) depends on the shape of the base. For example:

Triangular prism = Area of a Triangle × height
Rectangular prism = Area of a rectangle × height
Pentagonal prism = Area of a pentagon × height

6 0

3 years ago

Read 2 more answers

I don’t understand how to solve this graph.<br> (Y=MX+B)

Alla [95]

Answer:

The equation of line shown in the graph is $\mathbf{y=-\frac{1}{2}x -1}$

Step-by-step explanation:

We need to find equation of the line shown in graph.

The equation of line will be in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding y-intercept

Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.

So, when x =0, y=-1

So, y-intercept is -1

Finding Slope

Now, for finding slope, consider 2 points on graph

(0,-1) and (-2,0)

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=0, y_1=-1, x_2=-2, y_2=0$

Putting values and finding slope:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-1)}{-2-0} \\Slope=\frac{0+1}{-2-0} \\Slope=\frac{1}{-2} \\Slope=-\frac{1}{2}$

So, slope is $m=-\frac{1}{2}$

Equation of line

Now, equation of line having slope $m=-\frac{1}{2}$ and y-intercept b = -1 is

$y=mx+b\\y=-\frac{1}{2}x -1$

So, equation of line shown in the graph is $\mathbf{y=-\frac{1}{2}x -1}$

5 0

3 years ago

Three less than the difference of 16p and 15p is equal to the difference of 3 and 1/2

Paraphin [41]

3 less: -3

difference of 16p and 15p: 16p - 15p = p

is equal to: =

the difference of 3 and 1/2: 3 - 1/2 = 2.5

p - 3 = 2.5

Isolate the p. Note the equal sign. What you do to one side, you do to the other. Add 3 to both sides

p - 3 (+3) = 2.5 (+3)

p = 2.5 + 3

p = 5.5

5.5 is your answer for p

hope this helps

5 0

4 years ago

Read 2 more answers

A bag contains 19 red marbles, 27 green marbles, and 20 blue marbles. You choose a marble at random from the bag. What color mar

Andrej [43]

Answer:

Green

Step-by-step explanation:

As the majority of marbles are green, It will be most likely that you will get a green marble from the bag.

6 0

2 years ago

Read 2 more answers

A rock concert promoter scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,427. If it doe

Zielflug [23.3K]

For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.

<h3>What is probability?</h3>

The probability is occurrence of a certain event out of the total number f events that can happen.

Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.

If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.

We know, the expected profit is,

= 0.5(30427) - 0.5(12656).

= 15213.5 - 6328.

= 8885.5 dollars.

learn more about probability here :

brainly.com/question/11234923

#SPJ1

8 0

1 year ago