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
strojnjashka [21]
1 year ago
12

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Mathematics
1 answer:
Goshia [24]1 year ago
4 0

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

You might be interested in
10^-3 mm in inches??
Anarel [89]

3.9

it has to be 20 characters long so hi

6 0
3 years ago
Read 2 more answers
Which shows one way to determine the factors of x3 11x2 – 3x – 33 by grouping? x2(x 11) 3(x – 11) x2(x – 11) – 3(x – 11) x2(x 11
Aloiza [94]

The one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

x^3  + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_

We will find the final solution as x^2(x+11)-3(x+11)_.

Hence the one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

To learn more about the factorization refer to the link;

brainly.com/question/24182713

3 0
2 years ago
1. Simplify the expression<br> 11x + 3x
Natali [406]

Answer:

14x

Step-by-step explanation:

Step 1: Collect like terms by adding their coefficients

(11+3)x

Step 2: Add the numbers

14x

4 0
3 years ago
Read 2 more answers
A translation is a type of transformation in which a figure is .
Romashka [77]

Answer:  Rotation

Step-by-step explanation:  can't be translation its tilted cant be reflection because of the tilt also cant be dilation because its the same size {hope this help's :{

7 0
3 years ago
Read 2 more answers
The data set represents the total number of tickets each person purchased for a play.
navik [9.2K]
The median is 1.5, hope this was helpful :)
4 0
2 years ago
Read 2 more answers
Other questions:
  • Which polygons are congruent?<br> Select each correct answer.
    12·2 answers
  • What are the solutions to the quadratic equation 4x^2-9x-9=0?
    15·2 answers
  • What is the solution to the system of equations?<br> x=3y+5<br> x-4y=3
    9·1 answer
  • The ratio of dogs to cats at the animal shelter is 4:5 if there are 20 cats how many dogs are there
    8·2 answers
  • Hannah and Heather are sisters. Hannah's age is four less than twice Heather's age. The sum of their ages is 30. Which system of
    13·1 answer
  • -19+3x-11+2x=2 .......?
    5·2 answers
  • Determine the domain on which the following function is decreasing.
    6·1 answer
  • ** GIVING BRAINLIEST*** HELP PLEASE!​
    10·1 answer
  • Identify the pattern rule for this sequence: 1, 4, 2, 8, 6, 24, 22…
    15·1 answer
  • Find x<br><br> ………….. ………….. …………..
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!