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vovikov84 [41]
4 years ago
12

What is the sum of an 8-term geometric series if the first term is -11, the last term 180,224, and the common ratio is -4? answe

rs to choose from. can somebody please solve this?
a)-143,231
b)-36,047
c)144,177
d)716,144
Mathematics
1 answer:
Blababa [14]4 years ago
4 0
The general formula for the sum of the n terms of a geometric progression is:

Sn = A1 (1 - r^n) / (1 - r)

In this case, n = 8; A1 = - 11, r = -4

S8 = -11 (1 - (-4)^8) / (1 -(-4)) = 144,177

Answer: option c.
 
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What is the conjecture sentence for the pattern 1, ,4, 9 ,16?
nexus9112 [7]

Answer:

Square numbers

Step-by-step explanation:

if 1 is squared, you get 1.

if 2 is squared, you get 4.

if 3 is squared, you get 9.

if 4 is squared, you get 16.

And thus square numbers.

8 0
3 years ago
To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. W
Zolol [24]

Answer:

16

Step-by-step explanation:

b x h is finding a square or rectangle, but since a triangle is half of a rectangle or square you can divide that by 2. So, 8 (b) x 4 (h) = 32, 32 / 2 = 16. Hope this helps! :D

6 0
3 years ago
Points A, B, and C are collinear, and B lies
olya-2409 [2.1K]

Answer:

BC = 30

Step-by-step explanation:

If the three points are collinear, it means they lie on the same straight line.

Now B lies between A and C

By mathematical convention;

AC = AB + BC

This means;

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48-8 = 5x

5x = 40

x = 40/5

x = 8

From the question BC = 3x + 6

Substitute the value of x; 3(8) + 6 = 24 + 6 = 30

3 0
3 years ago
Write the quotient as a mixed number.<br> 63 divided by 5 = 12 R3
Whitepunk [10]
12 1/4 because the original answer is 12 3/12 but you should simplify it to 12 1/4.
6 0
4 years ago
Please do them step by step;
ELEN [110]
For the first one c-9=(2)(4)+6
You are gonna multiply 2 and 4 first, 2*4=8. Now you have c-9=8+6. 8+6=14. So now the equation is c-9=14. Now we are going to add 9 to both sides. So c=23
For the second equation 10+y=90. We are going to subtract 10 from both sides. So, y=80.
Third, add 4 to both sides. a=10.
Fourth, subtract 8 from both sides. d=-9
Fifth, 5+2(3+4)=-x.
First we are going to add 3 and 4. 3+4=7. 5+2(7)=-x. Next we are going to multiply 2 and 7. 2*7=14. 5+14=-x. 5+14=19. So our equation is 19=-x. Next we are going to multiply both sides by -1. Making our final equation x=-19.
c=23
y=80
a=10
d=-9
x=-19
I hope that helps, if you need any further explanation just ask.<span />
3 0
3 years ago
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