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3 years ago

What is the first term in a geometric sequence if the common ratio is −4 and the sum of the first four terms is −255?

1 answer:

8 0

Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1

Hope this helped! Let me know if you have any questions.

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Write this percent as a fraction. 56 1/4 % (56 whole number and 1/4)

3241004551 [841]

56 $\frac{1}{4}$ %

= $\frac{225/4}{100}$

= $\frac{225}{400}$

= $\frac{9}{16}$ (Answer)

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4 years ago

Given the two equations:

9966 [12]

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1) is a line through y = 5 with a negative slope of -1 y = -x + 5

eq2) is a vertical line at x = 1/2 NO y intercept or slope

-2x = -1 ---> x = -1/-2 = 1/2

They intersect at

y = -x + 5 and x = 1/2 Substitute x=1/2 into

y = -1/2 + 5

y = 4.5

intersect at (1/2, 4.5)

6 0

3 years ago

What is equivalent to -3(-2x + 7)

nata0808 [166]

Answer is A 6x - 21 as the -3 makes the -2x positive and 7 into a negative 21

3 0

3 years ago

Read 2 more answers

What is -3/4, -3, 0.75, -1.8, -3.5 ordered greatest to least

Mama L [17]

Answer:

Its

Step-by-step explanation:

0.74=18 3/4=[b] 3.5 so you put them all together nd it comes out to

<h2 />

[w]=1.2 bc its a different of the number

<h2> $\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]$ </h2><h2>Text me if you have any questions.</h2>

6 0

3 years ago

It is estimated that the population of the world is increasing at an average rate of 1.09%. The population was about 7,632,819,3

morpeh [17]

Answer:

The equation that represents the population after T years is

$P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}$

Step-by-step explanation:

Population in the year 2018 ( P )= 7,632,819,325

Rate of increase R = 1.09 %

The population after T years is given by the formula

$P_{t} = P [1 +\frac{R}{100} ]^{T}$ -------- (1)

Where P = population in 2018

R = rate of increase

T = time period

Put the values of P & R in above equation we get

$P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}$

This is the equation that represents the population after T years.

6 0

3 years ago