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
Salsk061 [2.6K]
2 years ago
14

What is the explict formula for this sequence 5, 10, 20, 40, 80, 160, ...

Mathematics
2 answers:
serg [7]2 years ago
4 0

Answer:

a_{n} = 5(2)^{n-1}

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

a_{n} = 5 (2)^{n-1}

Tcecarenko [31]2 years ago
3 0

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

You might be interested in
Reposting because I seriously need help. Please, this is time sensitive!
Anni [7]
From the graph, see where the two lines cross. That is the correct answer. The answer is (4,-3.4)
7 0
3 years ago
Read 2 more answers
What is 80 divided by 3/5?
agasfer [191]

Exact form:

\frac{400}{3}

Decimal form:

13.333333333333

Mixed number form:

133\frac{1}{3}

6 0
3 years ago
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

On comparing both sides, we get

\dfrac{4+a}{2}=\dfrac{-1}{2}

4+a=-1

a=-1-4

a=-5

And,

\dfrac{5+b}{2}=\dfrac{3}{2}

5+b=3

b=3-5

b=-2

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0
2 years ago
Kyle has three pieces of ribbon. One is 2/5 inches long, another is 5/10 inches long, and the last one is 1/3 inches long. What
katrin2010 [14]
5/10 bc it is equal to 1/2 which is bigger than 2/5 or 4/10 1/3
4 0
3 years ago
Question 1/8
just olya [345]

Answer:

discount = 290 × <u>1</u>

4

= 72.50

new price is

290.00

<u>72.50</u> -

217.50

5 0
3 years ago
Other questions:
  • What does r over -3=12 equals
    9·2 answers
  • What number can be expressed as a nonrepeating, nonterminating decimal?
    9·2 answers
  • Simplify square root 50y^15 (inside the radical) assume y represents a positive real number
    7·1 answer
  • Stella is doing her math worksheets. It takes her 1 hour 20 minutes to complete one worksheet with 12 questions.
    7·1 answer
  • Geoff and Max are college roommates. Geoff can clean their apartment in 2.5 hours and Max can clean their apartment in 3.25 hour
    8·1 answer
  • Please help i will give brainest to correct answer
    15·2 answers
  • Answer all questions, your combing like terms. Show ALL of you work! Thank you!!
    7·1 answer
  • 4 - (y - 3) = 3(y + 1) - 4(1 - y)
    8·1 answer
  • Tell whether (-4, 3) is a solution of the system of linear inequalities.
    9·1 answer
  • The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!