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
sergij07 [2.7K]
2 years ago
12

What is the sum of the first 4 terms of a geometric sequence that has a first term of 2 and a ratio (multiplier) of 8?

Mathematics
1 answer:
taurus [48]2 years ago
6 0

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=2\\ r=8\\ n=4 \end{cases} \\\\\\ S_4=2\left( \cfrac{1-8^4}{1-8} \right)\implies S_4=2\left( \cfrac{-4095}{-7} \right) \\\\\\ S_4=2(585)\implies S_4=1170

You might be interested in
Can someone help me with this math work and please explain why the answer is what it is
Anettt [7]

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

Area = 58unit²

please click thanks and mark brainliest if you like :)

4 0
2 years ago
How To Solve these? ​
Inessa [10]

Answer:

a. 15/23

b. 13/27

c. 400g

Step-by-step explanation:

a. When the denominators are the same, you can just sum the numerators.

Which becomes, 13+2=15--> 15/23

b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27

c. 1kg=1000g. 1000/5=200✖️2=400

5 0
3 years ago
A bakery uses 550 pounds of sugar to make 1,000 cookies. Each cookie contains the same amount of sugar. How many pounds of sugar
Sonja [21]

Answer:

do da dash in the whip fo i fu6 a nica bih

Step-by-step explanation:

8 0
3 years ago
What are the coordinates A’ after 90 counterclockwise rotation about the origin.
vampirchik [111]

Answer:

the above is the answer

hope this is helpful

3 0
3 years ago
In Antarctica, Vinson Massit is at an elevation of 16,864 feet. How far above sea level is Vinson Massit?
GarryVolchara [31]

Answer: 16,864 feet

Step-by-step explanation: sea level is 0

5 0
3 years ago
Other questions:
  • Write the equation of the line, in point slope form identify x,y as the point (-2,2)
    12·1 answer
  • Solve the expression.<br> 2^3 + 17 - 3g4 = ?
    10·1 answer
  • An average clementine is shaped like a sphere and has a diameter of 3.5 inches. What is the volume of the fruit? Use 3.14 for pi
    11·2 answers
  • In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?
    5·2 answers
  • Marcus painted 1/3 of his bedroom in 4/5 of an hour. at this rate how long will it take him to paint his entire room
    11·1 answer
  • 5x + 10 &gt; 35<br> How do you work this out?
    8·2 answers
  • Joey is building a doghouse. He measures the lengths of two sides and the hypotenuse to make sure the boards create a right tria
    10·1 answer
  • each Saturday morning Janie works 5 hours and earns $35.75. How much does Janie earn for each hour she works?
    9·1 answer
  • Evaluate the function f(x) = x+4 when x=3
    12·2 answers
  • Rectangle ABCD has vertex coordinates A(-1, -1), B(-1, -3),C(-4,-3), and D(-4, -1). It is translated 4 units to the rightand ref
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!