All categories

3 years ago

What is the sum of the arithmetic series below?

1 answer:

5 0

Hello :
the common ratio is r = -95-(-100)=5
the general terme is : un= u1+(n-1)r
un = -100 +(n-1)(5)
un =-100 +5n-5
un = 5n-105
The last term is : 100
un =100
5n-105 = 100
5n =205
n = 41 (Number of terms)
The last term is : u 41
<span>the sum is : S= (41/2)(-100+100)=0</span>

You might be interested in

Write the phrase as a mathematical expression. Use x as the variable.

11111nata11111 [884]

Answer:

4(2x+7) which is equal to 8x+28

4 0

1 year ago

I don't understand can some one help me plz

vaieri [72.5K]

The answer is 7.76 because the fraction written as a decimal would be 7.76 and not any of the other choices they want you to find which number is equal to the fraction number

6 0

3 years ago

Read 2 more answers

Solve the problem.

In-s [12.5K]

Answer:

16.9%

Step-by-step explanation:

Let's find the answer by using the following formula:

final people=(initial people)+((initial people)*(percent increase)) which can be written as:

percent increase=((final people)-(initial people))/(initial people) so:

percent increase=(83-71)/71=0.169=16.9%

In conclusion, the percent increase is 16.9%.

4 0

3 years ago

What is the y-intercept for 10x+4y=20

stiv31 [10]

Answer:

Step-by-step explanation:

Hi,

find the x- and y-intercepts:

10x + 4y = 20

finding x-intercept when y = 0

10x = 20

x = 2 Pt(2,0) the x intercept

finding y-intercept when x = 0

4y = 20

y = 5 Pt(0,5) the y intercept

3 0

3 years ago

The midpoint of AB is M (0, -3). If the coordinates of AA are (2, 1) what are the coordinates of BB?

frez [133]

Answer:

B(-2, -7)

Step-by-step explanation:

Midpoint is (0, -3)

A(x₁, y₁) B(x₂, y₂)

A(2, 1)

$Midpoint = (\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2} )\\\\Midpoint = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$(0, -3) = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$\frac{2+ x_{2} }{2} = 0\\\\2 + x_{2} = 0\ \ \ \ times\ both\ sides\ by\ 2\\x_{2} = -2\ \ \ \ subtract\ both\ sides\ by\ 2$

$\frac{1 + y_{2} }{2} = -3\\\\1 + y_{2} = -6\ \ \ \ times\ both\ sides\ by\ 2\\y_{2} = -7\ \ \ \ subtract\ both\ sides\ by\ 1$

∴ B(-2, -7)

6 0

2 years ago