All categories

4 years ago

What is the common ratio for the sequence 54, 18, 6, 2, …? 3 -3

Mathematics

1 answer:

frozen [14]4 years ago

7 0

Answer:

r = $\frac{1}{3}$

Step-by-step explanation:

Calculate the ratio between consecutive terms, that is

$\frac{18}{54}$ = $\frac{1}{3}$

$\frac{6}{18}$ = $\frac{1}{3}$

$\frac{2}{6}$ = $\frac{1}{3}$

Thus the common ratio r = $\frac{1}{3}$

You might be interested in

Do I need to put parentheses in this? Why it why not?

Oksana_A [137]

Answer:

Parentheses can change the result of the answer. If you want to add 4 and 0.95 first, then multiply that number by 3, then you need parentheses.

Step-by-step explanation:

When you are given the question 3 X 4 + 0.95, it has to types of operations. People solve using the order PEDMAS:

Parentheses,

Exponents,

Division and Multiplication,

Addition and Subtraction.

Since there are no parentheses or exponents, the solver will do multiplication first, then addition.

3 X 4 + 0.95 Multiply first

= 12 + 0.95 Now add

= 12.95 Answer without parentheses

If you add parentheses around 4 + 0.95, the answer would change. According to PEDMAS, the parentheses must be solved before anything else.

3 X (4 + 0.95) Add inside parentheses

= 3 X (4.95) Now multiply

= 14.85 Answer with parentheses

If you added parentheses around 3 X 4, the answer would not change, because you still multiply first.

(3 X 4) + 0.95 Solving parentheses first

= 12 + 0.95 Add

= 12.95 Answer same as original

3 0

3 years ago

Use the formula SA=6s2 , where SA is the surface area and s is the edge length of the cube, to solve this problem.

Irina-Kira [14]

Using the SA formula you'll have to substitute in the edge length for s.

SA = 6(312)²
SA = 584064

The surface area is 584,064 feet²

Hope this helps :)

3 0

3 years ago

Read 2 more answers

F(x)=x^2-8x+7 in factored form

Karolina [17]

Answer:

(x-1)(x-7)

Step-by-step explanation:

To factor the equation, find two binomials which multiply to a quadratic. The quadratic's factors are found by finding two numbers that multiply to 7 and add to -8.

-1 and -7 multiply to 7 and add to -8.

(x-1)(x-7)

7 0

3 years ago

Solve this equation for x: x^2+11x+28=0

lord [1]

Answer: x = -7 or x = -4

Step-by-step explanation: When an equation has a squared term in it

such as x² + 11x + 28 = 0, it's called a polynomial equation.

The rule for solving a polynomial equation

is to first set it equal to zero, then factor.

Since this equation is already set equal to zero,

our first step is to factor the left side of the equation.

To factor x² + 11x + 28, we need the factors

of 28 that add to 11 which are 7 and 4.

So we have (x + 7)(x + 4) = 0.

Whenever two terms are multiplied together to equal zero,

this means that either one or the other must equal zero.

So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.

Solving each equation from here, we get x = -7 or x = -4.

So our solution is {-7, -4}.

6 0

4 years ago

All of the following expressions are equivalent to 12w + 6, except:

Dafna1 [17]

Answer:

-1(-12w - 6)

Step-by-step explanation:

trust me ;)

6 0

3 years ago

Read 2 more answers