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
Dennis_Churaev [7]
2 years ago
5

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0
It's a geometric sequence.

4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n

It's the sum for term 4 through term 15.

 \boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}
You might be interested in
The slope of the line below is -3. Which of the following is the point-slope
Anna71 [15]

Answer:

C.

Step-by-step explanation:

3 0
2 years ago
5 1/2+ 3 2/3+ 1 4/5
Mazyrski [523]

Answer:

10\frac{29}{30}

Step-by-step explanation:

5\frac{1}{2} +3\frac{2}{3} +1\frac{4}{5}

Let us group the integers and the fractions.

5\frac{1}{2} +3\frac{2}{3} +1\frac{4}{5} = (5+3+1)+(\frac{1}{2} +\frac{2}{3}+\frac{4}{5}  )

= 9+\frac{15+20+24}{30}

= 9+\frac{59}{30}

=9+1\frac{29}{30}

=10\frac{29}{30}

7 0
3 years ago
A chemist is using 336 milliliters of a solution of acid and water. If 19.4 % of the solution is acid, how many milliliters of a
denpristay [2]

Answer:

65.2 milliliters

Step-by-step explanation:

The quantity 336 milliliters is the 100% of the solution. We can represent this information on a table:

Milliliters        Percentage of solution

     336        ⇔            100%

we are told that 19.4% of this solution is acid, and we need to know how many milliliters represents this percentage. I will call the number of milliliters of acid on the solution 'x', and updating the last table:

Milliliters        Percentage of solution

     336        ⇔            100

     x             ⇔            19.4%

We can solve this problem for 'x' using the<u> rule of three</u> which is to multiply the cross quantities on the table (336 by 19.4) and then divide by the remaining amount (100):

x = 336(19.4)/100

x = 6,518.4/100

x = 65.184

which rounding to the nearest tenth is: 65.2 milliliters

8 0
3 years ago
It takes 36 minutes for 7 people to paint 4 walls. How long does it take 9 people to paint 7 walls?
algol [13]
It will take 49 minutes for 9 people to paint 7 walls
7 0
3 years ago
A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too
expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

232x=212x+424\\232x-212x=424\\20x=424

Dividing both sides by 20

\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

  • brainly.com/question/12960754
  • brainly.com/question/12967961

#LearnwithBrainly

5 0
3 years ago
Other questions:
  • Which graph represents (,y)-pairs that make the equation y = 2x true?
    15·1 answer
  • I need help on the bottom problem
    8·2 answers
  • What is the value of the number 6 in the total number 4560 thousand
    7·2 answers
  • Solve for X. <br><br> -18=9-3x
    7·2 answers
  • What is the area of a circle with a radius of 7 inches
    9·2 answers
  • Terry sees this offer refurbished phone 35% off now only ?78 what was the original price
    5·1 answer
  • What is the answer to this. 27-(7x3)
    7·2 answers
  • What is x*x-2x if x = -3
    12·1 answer
  • 8. A farmer wishes to place 3572 eggs in containers holding 12 eggs each. How many containers will be
    12·1 answer
  • Which is the best definition for the term "segment bisector"?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!