All categories

3 years ago

Find the sum of the first 100 terms of the sequence: −30, −40, −50, −60 ,...

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

D= -10

an=a+(n-1)d

a100=-30+(100-1)-10

a100=-30+99x-10

a100=-960

(n/2)(A1+an)

(100/2)(-30-960)

(50)(-990)

= -49500

You might be interested in

Please select the word from the list that best fits the definition

Ilya [14]

I think it's H) Safety because safety is another term for security.

8 0

2 years ago

Read 2 more answers

What is the solution to the system of equations graphed below? y=-4x + 33 y=5/3x-1

Black_prince [1.1K]

Answer:

x = 6

y = 9

This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.

Expert Verified Answer (of this same question but with a step-by-step explanation):

This is the link to rocioo's answer. brainly.com/question/13675950

3 0

3 years ago

Read 2 more answers

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

$(x-h)^2+(y-k)^2=r^2$

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

$(x-h)^2+(y-k)^2=r^2$

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

2 years ago

What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property. (1 point)

Alecsey [184]

1. 2x2 – x – 6
2. 12x2 – x –6
3. 4p2 – 18p + 8

7 0

3 years ago

a subsription is $4.95 per month and 4-by-6 inch prints are $0.18 each.How many prints does .insert person here lol. purchase if

valentinak56 [21]

The number of prints he buys is 36

5 0

2 years ago

Read 2 more answers