All categories

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

1 answer:

hichkok12 [17]2 years ago

7 0

Answer: -129

Step-by-step explanation:

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is $\dfrac{6}{-3} = -2$ .

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_7=\dfrac{-3(1-(-2)^7)}{1-(-2)}\\\\.\quad=\dfrac{-3(1-(-128))}{1+2}\\\\.\quad=\dfrac{-3(1+128)}{3}\\\\.\quad=\dfrac{-3(129)}{3}\\\\.\quad=-129$

You might be interested in

6x^3-16x^2+17x-6?/3x-2

liraira [26]

Answer:

2x² − 4x + 3

Step-by-step explanation:

x = 2/3 is a root of both the numerator and the denominator, so it divides evenly. Therefore, one method is to factor by grouping:

6x³ − 16x² + 17x − 6

6x³ − 4x² − 12x² + 17x − 6

2x² (3x − 2) − (12x² − 17x + 6)

2x² (3x − 2) − (4x − 3) (3x − 2)

Divided by 3x − 2:

2x² − (4x − 3)

2x² − 4x + 3

Another method is to use long division (see image).

4 0

3 years ago

For h(x)=1/2x+4, find the value of x when h(x)=10 x = ?

ValentinkaMS [17]

1) substitute 10x in for the equation.

$h(10)= \frac{1}{2}(10)+4

h(10)= 5+4
h(10) = 9$

6 0

2 years ago

In the triangle below, what is the length of the side opposite the 30 degree angle?

Vitek1552 [10]

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

5 0

2 years ago

Anwser: (1-4-6+56)×6-8-3

baherus [9]

Answer:

PEMDAS, do multiplication first then, adddition, then subtraction

Step-by-step explanation:

7 0

2 years ago

Find the slope of the line: (4, 4), (5, 3)

fredd [130]

Answer:

-1

Step-by-step explanation:

we would use the slope formula which is y2-y2/x2-x1

so 3-4/5-4= -1

8 0

2 years ago