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3 years ago

The sum of the first 6 terms of a geometric series is

Mathematics

1 answer:

jekas [21]3 years ago

7 0

Answer:

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

$S_{6}$ = $\frac{a(5^6-1)}{5-1}$ , so

$\frac{a(15625-1)}{4}$ = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

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Determine the equation of the line passing through the point below having the corresponding

dusya [7]

Answer:

y=1/5x-4

Step-by-step explanation:

So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)

Then, you simplify!

y= 1/5(x+25)-9

y=1/5x+5-9

y=1/5x-4

Hope this helped!

5 0

3 years ago

Rewrite the inequality into slope Intercept form. <br> 6x-2y>-2<br> PLEASE PLEASE PLEASE HELP!!!

BARSIC [14]

Answer:

I think it's y < 3x +1

Step-by-step explanation:

subtract 6x to the right side. that's -2y > -6x - 2. then divide -2 out of y, now you have to flip the sign. Now you have y < 3x + 1

5 0

3 years ago

Read 2 more answers

1 4

motikmotik

$(1, 4), \ \ (2 , 8 ) \\ \\ slope \\ \\ m = \frac{8-4}{2-1}=\frac{4}{1}=4 \\ \\y=ax+b$

$4=4*1+b\\ \\b=4-4\\ \\b=0 \\ \\y=4x$

5 0

4 years ago

X 52° 46° Find the unknown angle measure

Igoryamba

Answer:

82 degrees

Step-by-step explanation:

It should all equal 180 so 52+46=98 and 180-98 is 82

4 0

3 years ago

A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

<h3>How to determine the equation</h3>

The equation is a secant function represented by

$y =A\sec(Bt)$

Where:

A represents the amplitude

So, we have:

$A = 40$ --- the distance of the light from each square wall

B represents the period, and it is calculated as:

$B = \frac{2\pi}{T}$

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

$B = \frac{2\pi}{6}$

Simplify

$B = \frac{\pi}{3}$

Substitute values for A and B in $y =A\sec(Bt)$

$y = 40\sec(\frac{\pi}{3}t)$

Rewrite as a function

$d(t) = 40\sec(\frac{\pi}{3}t)$

Hence, the equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0

2 years ago