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
miss Akunina [59]
3 years ago
6

What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:

The sum of the first 5 terms is -244

Step-by-step explanation:

To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.

The first term here is -4

The common ratio is T2/T1 or T3/T2 = 12/-4 = -3

number of terms n = 5

The formula to use is;

Sn = a(1-r^n)/(1-r)

Plugging these values, we have;

Sn = -4(1-(-3)^5)/(1-(-3))

Sn = -4(1+243)/4 = -1(244) = -244

You might be interested in
Ahmad drove 360miles in 5hours.<br> At the same rate, how long would it take him to drive 864miles?
AVprozaik [17]

It will take Ahmad 12 hours to drive 864 miles

Step-by-step explanation:

  • Step 1: Find the speed of Ahmad.

Distance = 360 miles

Time = 5 hours

⇒ Speed = Distance/Time = 360/5 = 72 miles/hour

  • Step 2: Find the time required to drive 864 miles

⇒ Time = Distance/Speed = 864/72 = 12 hours

7 0
3 years ago
If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is
mafiozo [28]

Answer:

y ≥ 8

Explanation:

Note that if f(x) is transformed into f(x + a) - b

The original functions is shifted a units to the left and b units downward.

Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.

From the given, g(x) is the transformation of f(x) with

g(x)=f(x+2)-3_{}

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.

Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.

y ≥ 11 - 3

The answer is y ≥ 8

3 0
11 months ago
What's 4.88 rounded to the nearest tenth......
Ugo [173]
The first decimal point is tenth. 4.88
when rounding, we just look at the number right after the number you want to round to. it's 8 right? since 8 is closer to 10 than 0,
we round it to 4.9
                  (4.8 + 0.10)
5 0
3 years ago
Read 2 more answers
Find the Domain: <br> {(-5, 3), (-1,0), (3, -4), (-1, 2)}
Marrrta [24]

Answer:

(-1,2) is domain

Step-by-step explanation:

5 0
3 years ago
When Sarah turned 18, she took $500 from her savings and opened a
Montano1993 [528]

The worth of Sarah's investment when she is 68 is $14,728.51.

<h3>What is the worth of the investment?</h3>

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: brainly.com/question/18760477

6 0
2 years ago
Other questions:
  • Marisol has enough tile to cover a square portion of her patio with an area of 225 ? What will be the side lengths of her
    10·2 answers
  • The slope of the line whose equation is given
    11·2 answers
  • X= 2 please solve before 5 pm
    14·1 answer
  • If there are 140,900 teachers and 12,880,000 people in Illinois, how many teachers would we expect to find in Marshall, IL, a ci
    10·1 answer
  • One and one eighth equal g minus four and two fifths
    12·1 answer
  • Find the median and mean of the data wich reflects the best measure of the center
    8·2 answers
  • What is the answer to this problem?
    6·2 answers
  • How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
    12·1 answer
  • Find the sum:<br> 1. 23.456 + 3.0034
    5·2 answers
  • One cubic meter represents a cube shape that measures 1 meter in all three dimensions. how long is each side in centimeters?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!