1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lutik1710 [3]
3 years ago
9

Find the 14th term of the geometric sequence 2,6,18, ...

Mathematics
2 answers:
Bumek [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

riadik2000 [5.3K]3 years ago
8 0

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

  • If 2 is a_{1}, 6 is a_{2}, 18 is a_{3}, etc...
  • then, a_{n}=2(3)^(n - 1)

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646

You might be interested in
Negative 99610=1700 minus 55g
Stella [2.4K]
-99610=1700-55g
-1700 -1700
-101310=-55g
---------- ------
-55 -55

1842=g
4 0
3 years ago
Find the Value of each variable that makes the equation true.
alexdok [17]
1.) 0
2.) -2
3.) -3

Please comment for concerns please likeb
8 0
3 years ago
A fishing supply store buys fishing rods for $11 and sells them at a markup of 220% One day, they decide to put the rods on sale
Alina [70]

Answer:28.16

Step-by-step explanation:

A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.

Your'e Welcome  (ФДФ) .

8 0
3 years ago
1. Which of the following is equivalent to x5y2/xy2 when x ≠ 0 and y ≠ 0?
Aleonysh [2.5K]
Q1. The answer is <span>D. x4
</span>
Let's first rewrite the expression:
x⁵y²/xy² = x⁵/x * y²/y²

Using the rule xᵃ/xᵇ = x(ᵃ⁻ᵇ), we can write the expression as following:
x⁵y²/xy² = x⁵/x * y²/y² = x⁵⁻¹ * y²⁻² = x⁴ * y⁰ = x⁴ * 1 = x⁴

Thus, the correct answer is D.


Q2. The answer is <span>A. 5(5^3/2/5)^2
</span>
125 in the form of exponent is 5³.
125 = 5³
Now, let's calculate all choices. 
 
The rules we will use are:
xᵃ * xᵇ = x(ᵃ⁺ᵇ)
xᵃ/xᵇ = x(ᵃ⁻ᵇ)
(xᵃ)ᵇ = xᵃ*ᵇ

A. 5(5³/2/5)² = 5 * (5³ * 5/2)²
                      = 5 * (5³⁺¹/2)²
                      = 5 * (5⁴/2)²
                      = 5 * (5⁴)²/(2)²
                      = 5 * 5⁴*²/4
                      = 5 * 5⁸ / 4
                      = 5¹⁺⁸ / 4
                      = 5⁹/4
                      ≠ 5³ ≠ 125

B. (5³/5⁴)⁻³ = (5³⁻⁴)⁻³
                   = (5⁻¹)⁻³
                   = 5⁽⁻¹⁾*⁽⁻³⁾
                   = 5³
                   = 125

C. 5⁻²/5⁻⁵  = 5⁽⁻²⁾⁻⁽⁻⁵) 
                  = 5⁽⁻²⁾⁺⁵
                  = 5³
                  = 125<span>

D. 5(5</span>⁵/5³) = 5 * 5⁵⁻³
                  = 5 * 5²
                  = 5¹⁺²
                  = 5³
                  = 125

Therefore, the only expression that is not equal to 125 is A.


Q3. The answer is <span>63x5

Let's check all choices
</span>The rules we will use are:
xᵃ * xᵇ = x(ᵃ⁺ᵇ)
xᵃ/xᵇ = x(ᵃ⁻ᵇ)
(xᵃ)ᵇ = xᵃ*ᵇ

A. 6³<span>x 
</span>6³x/6x⁵ = 6³/6 * x/x⁵
             = 6³⁻¹ * x¹⁻⁵
             = 6²x⁻⁴
             = 36x⁻⁴
             ≠ 36<span>

B. 6</span>³x⁵ 
6³x⁵/6x⁵ = 6³/6 * x⁵/x⁵
              = 6³⁻¹ * x⁵⁻⁵
              = 6² * x⁰
<span>              = 36 * 1
              = 36

C. 6x</span>⁵<span> 
</span>6x⁵/6x⁵ = 1
             ≠ 36
<span>
D. 6</span>⁷x⁵
6⁷x⁵/6x⁵ = 6⁷/6 * x⁵/x⁵
              = 6⁷⁻¹ * x⁵⁻⁵
              = 6⁶ * x⁰
              = 46656 * 1
              ≠ 36

Therefore, the correct choice is B.


Q4. The answer is

We will use the rule: xᵃ/xᵇ = x(ᵃ⁻ᵇ)

5.4 x 10¹²/1.2 x 10³ = 5.4 / 1.2 x 10¹²/10³
                               = 4.5 x 10¹²⁻³
                               = 4.5 x 10⁹


Q5. The answer is B. <span>To subtract powers with the same base, divide the exponents

Some of the rules </span><span>regarding operations with exponents are:
</span>xᵃ/xᵇ = x(ᵃ⁻ᵇ) - choice A
xᵃ * xᵇ = x(ᵃ⁺ᵇ) - choice C
(xᵃ)ᵇ = xᵃ*ᵇ - choice D

Through the process of elimination, choice B is not true.
8 0
3 years ago
One piece of paper is 13.45 cm long. Another piece of paper is 15.125 cm long. What is the total length of these two pieces of p
maksim [4K]
You find the total of two numbers by adding them.
  13.450 + 15.125 = 28.575

The total length of the two sheets of paper is 28.575 cm.
8 0
4 years ago
Other questions:
  • Real life application of ratio and proportion???
    15·1 answer
  • A blue suit case weighs 10 pounds less than three fourths the weight of a green suitcase.Write an expression that you can use to
    13·1 answer
  • Definition of Segment Bisector?
    5·1 answer
  • Use the interactive number line to find each difference to complete the table. A 4-column table with 4 rows. Column 1 is labeled
    13·2 answers
  • If I’m asked to simplify an expression does that mean I shorten it or solve it?
    7·2 answers
  • Solve the equation sin^2 x=3 cos ^2 x
    5·2 answers
  • The sum of the 10 terms in a geometric series with a first term of 5 and a common ratio of 2 is 5115. What is the sum of the 10
    12·1 answer
  • Divide fractions: 5/6 divided by 6/10 (leave as improper fraction if necessary)
    9·1 answer
  • Test
    8·1 answer
  • A dog walks due east 180 ft to a corner.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!