For the geometric sequence, find the sum of the specified number of terms.
The first 8 terms of 4, -12, 36, ...
S8=
Answers
Given:
The geometric sequence is
[tex]4, -12, 36,...[/tex]
To find:
The sum of first 8 terms of the given geometric sequence.
Solution:
We have,
[tex]4, -12, 36,...[/tex]
Here, the first term is 4 and the common ratio is
[tex]r=\dfrac{-12}{4}[/tex]
[tex]r=-3[/tex]
The sum of first n terms of a geometric sequence is
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting n=8, a=4 and r=-3, we get
[tex]S_8=\dfrac{4((-3)^8-1)}{-3-1}[/tex]
[tex]S_8=\dfrac{4(6561-1)}{-4}[/tex]
[tex]S_8=-6560[/tex]
Therefore, the sum of first 8 terms is -6560.
Related Questions
What is this picture an example of ?
A. Translation
B. 90 degree
C. 270
D.reflection
Answers
Answer:
(B). 90 degree
Step-by-step explanation:
it's not a or c or D it's only B
PLEASE HELP,, WILL GIVE LOTS OF POINTS & BRAINLY
Answers
Answer:
the amplitude is 3/2
the vertical shift is 0
Step-by-step explanation:
Round number 245-320
Answers
Answer:
300
Step-by-step explanation:
if you mean, 245.320
12b – 5 = 3b
How do you solve for b
Answers
Answer:
b=5/9
Step-by-step explanation:
Match the reasons with the statements in the proof.
Answers
Answer:
for some reason i cant see ur attachment. lo siento
Find the median of these numbers:4,2,7,4,3 *
Answers
Answer:
4
Step-by-step explanation:
median: the middle value. to find this, arrange your numbers in order from least to greatest and find the one in the middle. if there are two in the middle, add them and then divide by 2.
4, 2, 7, 4, 3 → 2, 3, 4, 4, 7
since 4 is in the middle, that is your answer
The median of the sequence is 4.
What is the median?One of the three methods of measuring central tendency is the median. The centre point of a data set is indicated while describing it. The measure of central tendency is this. The mean, median, and mode are the three most popular methods for calculating central tendency.
Given the sequence 4,2,7,4,3,
to find median arrange the values in ascending order,
2, 3, 4, 4, 7
since the sequence has 5 digits so the median is the middle term,
center digit is 4,
median is 4.
Hence the median is 4
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what is the square root of 36
Answers
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
There are 3 space helmets and you take away 2,how many do you have?
Answers
Answer:
1 space helmet
Step-by-step explanation:
subtract 3-2 = 1 helmet
Jamal spent 1 1/2 hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied what fraction of an hour did ruby spend studying
Answers
Answer:
First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.
Step-by-step explanation:
Choose the model that matches the situation.
A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,
[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]
Hence, the fraction of an hour for which Ruby studied is (1/2).
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Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answers
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
what is 900 * 158000
Answers
Answer:
142,200,000
Step-by-step explanation:
Used Calculator
Answer:
142200000
Step-by-step explanation:
It's a really long answer
1/2 (16x + 20)
Need help
Answers
Answer: let's say x = 1
16 x 1 =16
16+20=36
36x1/2=18
Step-by-step explanation:
You roll two dice 44 times how many times do you expect to roll at least one even die?
Answers
Answer:
2
Step-by-step explanation:
6, because there's 3 types of even die and you're rolling it 44 times, or 6 times per number
Consider the following set of data:
19 67 81 34 61 52 94 68 16
Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.
Mean =
Median =
Mode=
Answers
Median is when you sort the numbers in order from smallest to largest and the one in the middle, if there are two in the middle find the average
Mode is number ir numbers that appears the most
Tell me if you want the answer
One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers
Answers
Answer:the two numbers are 2 and 19
Step-by-step explanation:
Let one of the numbers be x
and the second be 7+ 6x
so that the sum of the two numbers which totals 21 be expressed as
x + (7+ 6x) = 21
x+ 7+6x= 21
7 + 7x = 21
7x= 14
x= 14/7 = 2
one of the numbers = 2
the other number given as
7+ 6x = 7+ 6 x 2= 7+12= 19
The numbers are 2 and 19 .
The numbers as described in the question are; 2 and 19
Solving word problemsFrom the given problem statements;
The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 = 6x = 217x = 14x = 2Hence, the second number is; 7 + 6x = 7 + 6(2);
y = 19Read more on word problems;
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In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answers
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calculate the length of the missing side. Show your work.
Answers
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.
Solve the system using elimination.
SHOW ALL WORK on a separate sheet of paper.
52 - 2y = -48
2x + 3y = -23
Answers
Answer:
y=50 and x=-173/2
Step-by-step explanation:
52-2y=-48
∴-2y=-100
y=50
and 2x+3y=-23
y=50→(1)
2x+3y=-23→(2)
Putting y=50 in equation (2), we get
⇒2x+3y=-23
⇒2x+3(50)=-23
⇒2x+150=-23
⇒2x=-23-150
⇒2x=-173
⇒x=-173/2
∴y=50 and x=-173/2
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?
A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet
Answers
Answer:
34
Step-by-step explanation:
X+y = -15 in y = mx+b form
Answers
Answer:
y=-15x+b
Step-by-step explanation:
Just move it around and use a calucator
Please hurry; The number of bacteria in a culture grows exponentially. It can be modeled with the function f(x) = 20 (2^x).
How many more bacteria will there be after six hours?
a 12
b 32
c 960
d 1280
Answers
Answer:
D.
Step-by-step explanation:
20(2^6) = 1280
Simple interest to find the ending balance $460 at 13% for
2
years
Answers
Answer:
$568.16
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 13%/100 = 0.13 per year,
then, solving our equation
I = 416 × 0.13 × 2 = 108.16
I = $ 108.16
The simple interest accumulated
on a principal of $ 416.00
at a rate of 13% per year
for 2 years is $ 108.16.
At this weekend’s football game, 15 out of the first 50 people who entered the field were not wearing hats. If this sample is representative of the 250 people attending the game, about how many of them will probably NOT be wearing hats?
Answers
5x15=75
75 people out of 250 will NOT be wearing hats
75 people out of 250 will NOT be wearing hats.
At this weekend's football game, 15 out of the first 50 people entered in the field were not wearing hats.
The number of people attending the game is 250.
What is Probability?
Probability is a measure of the likelihood of an event to occur.
Now,
Probability for not wearing hats;
⇒ 250/ 50 = 5
⇒ 15 x 5 = 75
Hence, 75 people out of 250 will NOT be wearing hats.
Learn more about the probability visit:
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erica planted 8 cucumber plants each plant had 37 green cucumbers. how many cucumbers are the 8 plants altogether
Answers
Answer:
296
Step-by-step explanation:
8 plants × 37 on each = 296 cucumbers
Answer: 296
If you multiply the 37 green cucumbers each by the 8 cucumber plants they grew from, you'd end up with 296 green cucumbers altogether.
What value of x will make the equation below true?
8x=4x+16
Answers
Answer:
x=-2
Step-by-step explanation:
x=4
EXPLANATION:
8x= 4x+16
subtract 4x on both sides
4x=16
divide by 4 on both sides
x=4
Can you help me on question one?!
Answers
Answer:
I believe the answer is C
Answer:
I think answer is C
Step-by-step explanation:
Becausr A B AND D ARE SAME FORM OF WRITTING
A rental car company charges a fee of $150.00 for renting a car for a week plus $0.25 per mile driven.
Answers
Answer:
y = 150z + .25x
y = $ amount of rental
z = weeks rented
x = miles driven
i hope this helps :)
100000000000000000000+10000000000000000
Answers
Answer:
1.0001e+20
Step-by-step explanation:
Answer:
1.0001e+20
Step-by-step explanation:
What number increased by 13.33% equals 223.
Answers
Answer:
197
Step-by-step explanation:
13.33% of 197 = 26.26
.26 < 0.5
So, 197 + 26 = 223
Answer:
x=196.77 ir 197
Step-by-step explanation:
197
Step by step explanation:
13.33% of 197 = 26.26
0.26 <0.5
So it can be ignored
So, 197 + 26 = 223
Which is greater. 12 laps in 8 minutes or 16 laps in 10 minutes
Answers
Answer:
16 laps in one minute
Step-by-step explanation:
If you divide it you can find that the person will run 1.6 laps in a minute and the other one will run 1.5 laps in 1 minute.
