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
USPshnik [31]
3 years ago
11

The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence

.
Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

You might be interested in
If I make 10$ for working 6 hours if I wanted to make 8$ how many hours do I have to work
12345 [234]

Answer:

4.8 hours

Step-by-step explanation:

6=10$

divide by 10

0.6=1$

multiply by 8

4.8=8$

3 0
3 years ago
Read 2 more answers
How can I make a fraction in to decimals
scZoUnD [109]

Answer:

It is pretty easy.

Step-by-step explanation:

All you have to do is just divide the numerator by the denominator.

Brainliest appreciated

7 0
4 years ago
there are 14,240 books in the library. they are arranged on shelves that hold 8 books each. How many shelves are i the library
SashulF [63]

First off, it sounds strange to learn that each shelf holds only 8 books each.

But if that's the case, then the library has (14,240 books) / (8 books per shelf), or 1,780 shelves.

5 0
3 years ago
Part A. Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $a$ be a constant. What is the largest possible degree o
Varvara68 [4.7K]

Answer:

  A.  4

  B.  1

Step-by-step explanation:

The degree of a one-variable polynomial is the largest exponent of the variable.

__

<h3>A.</h3>

For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...

  (x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)

  = (1 +2a)x^4 +(-3-6a)x^2 +2ax -a

The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.

The largest possible degree of f+ag is 4.

__

<h3>B.</h3>

The polynomial sum is ...

  f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b

When b = -1/2, the first two terms disappear and the sum becomes ...

  f+bg = -x +1/2 . . . . . . a polynomial of degree 1

The smallest possible degree of f+bg is 1.

5 0
2 years ago
The school you want to go to has an acceptance rate of 12%. That means that 12% of the students who apply to the school get in.
lana66690 [7]
I think the answer is 2688
7 0
3 years ago
Other questions:
  • January has 31 days and May has 31 days. True or False
    13·1 answer
  • If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?
    15·1 answer
  • What is the radius of for the circle given by the equation x^2+(y-1)^2=12?
    8·1 answer
  • Find the scale ratio for the map described below. 1 mm ​(map) equals 500 m ​(actual) The scale ratio is 1 to nothing.
    13·1 answer
  • Six less than half a number is 1. FIND the number
    6·2 answers
  • Solve the equation for y<br><br>0.6y + 1.2 = 0.3y - 0.9 + 0.8y​
    12·2 answers
  • Frederic read 471 pages of books this month. Jeane read 3 times as many pages as Frederic.
    8·2 answers
  • Use synthetic division to perform (x^4 - 3x + 5) = (x - 4).
    15·1 answer
  • please help will give BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLI
    11·2 answers
  • The circumference of a circle is 8 cm.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!