Find the 13th term of the geometric sequence 3, -15, 75, ...
the terms of geometric sequence are 3, -15, 75
given,
1st term (a) = 3
second term (t2)=-15
common ratio (r) = t2/t1
=-15/3
=-5
then
t13= ar^n-1
=3×(-5)^13-1
=3×244140625
=3×244140625
=732421875.
The [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
A geometric sequence is given ; 3 , -15 , 75....
We have to find the [tex]13^{th}[/tex] term of the geometric sequence.
What is the formula for calculation of nth term of geometric Sequence ?
The formula for calculation of nth term of geometric progression is [tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex] where r is the common ratio of geometric sequence.
Given geometric sequence is 3 , -15 , 75....
and
Common ratio is r.
i.e., r = -15 ÷ 3 = -5
∵ [tex]n^{th}[/tex] term of a geometric sequence is given by ;
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] × [tex](r)^{n-1}[/tex]
where [tex]a_{1}[/tex] is the first term.
So,
[tex]13^{th}[/tex] term of the geometric sequence will be ;
[tex]a_{13}[/tex] = 3 × [tex](-5)^{12}[/tex]
[tex]a_{13}[/tex] = - 732421875
Thus , the [tex]13^{th}[/tex] term of the geometric sequence is - 732421875.
To learn more about geometric series here:
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Please help with practice question
Write the following equation in slope-intercept
form: x + 5y = 30
Answer:
y = -1/5x + 6
Step-by-step explanation:
y=mx+b
hope this helps :)
i need help on this home work
Complete the triangle. Find all missing sides and angles. Round to the nearest tenth. Triangle DEF; DE=23 and FE=25
DF=?
Angle F=?
Angle E=?
help pls!!
Answer:
DF= 9.8
Angle F= 42.6 degrees
Angle E= 23.1 degrees
Step-by-step explanation:
so for the sides we can use the pythagorean theorem
23^2+b^2=25^2
23 squared is 529 and
25 squared is 625
529+b^2=625
subtract 529 from both sides
b^2=96
the square root of 96 is ~9.8
b=9.8
To find the angles you use sin, cos, or tan. Now that we know all three sides it doesn't matter which one you use so... pick your favorite.
sinf=23/25
f= ~66.9 degrees
tane= 23/25
e= ~23.1
PLS HELP ME ASAP PLS ILL MARK BRAIN
Answer:
Step-by-step explanation:
1). Let the circumference C and area A of the circle are proportional,
C ∝ A
C = kA
Here k = proportionality constant
k = [tex]\frac{C}{A}[/tex]
From the given table,
For C = 25 cm, A = 50 cm²
Then the value of k = [tex]\frac{25}{50}[/tex]
k = [tex]\frac{1}{2}[/tex]
For C = 50 cm, A = 201 cm²
k = [tex]\frac{50}{201}[/tex] ≈ [tex]\frac{1}{4}[/tex]
In both the cases proportionality constant is giving the different values.
Therefore, Circumference and Area of the circular objects are not proportional.
2). If A = [tex]\frac{1}{2}\times r\times C[/tex]
Then this equation will be true for all the values of r and C given in the table.
For r = 4 cm and C = 25 cm
A = [tex]\frac{1}{2}\times 4\times 25[/tex] = 50 cm²
For r = 8 cm and C = 50 cm
A = [tex]\frac{1}{2}\times 8\times 50[/tex]
A = 200 cm²
True for all values of 'r' and 'C'.
Answer:
665
Step-by-step explanation:
for brainiest:):):):):):)
What is the measure of angle TMS? Pls explain your answer and I will mark brainliest!
Answer:
38 degrees
Step-by-step explanation:
If the line is tangent that means it forms a 90 degree angle. The angle measure of the inside of a triangle is equal to 180 degrees. If you add 52 and 90 you get 142. Subtract this amount from 180 and you will get the measure of m TMS
of 450 town residents, 38% of them voted in a recent election for town council. how many voted in this election?
1) 152
2) 157
3) 164
4) 171
please hurry!!!
Answer:
171
Step-by-step explanation:
100%-> 450
38%-> 171
NEED HELP ON THIS PLEASEEEEEEEEEEE
Answer: i am a 7th grade child and i dont know an idea of how to solve this..... just kidding but its b :) hopefully this will help u
Step-by-step explanation:
PLS HELP!!!
When a rocker is launched it climbs 50 feet for every 13 feet it travels horizontally. Draw a diagram to represent the situation. Then estimate the rocket's launch angle.
HELP IM SO CONFUSED AGHHHH
Answer:
Ok... Move 630% to match up with 6.3. Move 63% to match up with 0.63. Next, move 6.3% to match up with 0.063...
I hope I'm not too late...
4.
The table shows values for a linear function
X=-2,-1,2,3
f(x)=-3,-1,5,7
Can someone please help and make sure the answer is right :) PLZ!
Answer:
x = -4
Step-by-step explanation:
Angles are congruent because they are corresponding
x + 90 = 86
x = -4
Help with this it’s due today!.
Answer:
b=[tex]\sqrt{95}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
7^2+b^2=12^2
49+b^2=144
b^2=95
b=[tex]\sqrt{95[/tex]
Eleven more than one third of a number is -1.
What is the number?
Answer: 1/3x+11=-1
Step-by-step explanation: I think this is an equation.
Answer:
--36
Step-by-step explanation:
Do the problem in reverse.
-1 - 11 = -12
-12 x 3 = -36
-36 / 3 = -12
-12 + 11 = -1
Which sides are congruent in the diagram below?
Answer: The first option (A)
Step-by-step explanation:
Answer:
It is A.
Step-by-step explanation:
AC=DF, AB=DE
Solve the following systems of equations without graphing
5x + 10y = 30
-5x +15y = 20
Answer:
(2, 2)
Step-by-step explanation:
In this case, elimination would be the most efficient means of solving.
Simply, add the two equations, and you will be left with only one variable to solve for. (In this case y) You are then able to take your solution and plug it into an equation and solve for x, therefore giving you their intercept.\
5x + 10y = 30
+
-5x + 15y = 20
(x's cancel) 25y = 50
25y = 50
y = 2
5x + 10(2) = 30
5x + 20 = 30
5x = 10
x = 2
The solution to this equation is (2, 2)
1. 10 X 2 = ?
2. 40 X 2 = ?
please help
19. Addie does gymnastics for 3 hour
each day. How many days will it.
take her to do a total of 3 hours of
gymnastics?
A 3 days
B 4 days
c 6 days
D 8 days
Answer:
1 day
Step-by-step explanation:
none of the answers shown are correct,it is 1 day,is the question worded diffrently?
Two years ago the Delhi metro track's length was 200km long. The new track length increased by 20%.
What is the new track length?
0
0%
20%
40%
60%
80%
100%
120%
how do i solve this −10 + x 1.5 = −5
Answer:
x= 10/3
Step-by-step explanation:
=> -10+x1.5= -5
=> x1.5= -5 +10
=> x1.5= 5
=> x= 5/1.5
=> x= 10/3
this is all due today
Answer:
1√5
Step-by-step explanation:
Combine like terms
Answer:
-[tex]\sqrt{5}[/tex], or about -2.24 in decimal form
Step-by-step explanation:
Add -3 and 2 and keep the [tex]\sqrt{5}[/tex]. -3+2 is -1, so the answer is -[tex]\sqrt{5}[/tex].
Please help!!
Concert tickets cost $25 each. A college student ordered some
tickets online. There was a service charge of $3 per ticket. The total came
to $252. How many tickets did the student order?
which of these is a unit rate?
Answer:
$5 for a case of soda
Step-by-step explanation:
I hope this helps! :)
An element with a mass of 600 grams decays by 27.8% per minute. To the nearest
tenth of a minute, how long will it be until there are 2 grams of the element
remaining?
Answer:
17.5 minutes
Step-by-step explanation:
i just put 600 times 0.722^x=2 in desmos graph and got that
Find each difference. If you get stuck, consider drawing a number line diagram.
9 − 4
4 − 9
9 − ( - 4 )
- 9 − ( - 4 )
- 9 − 4
4 − ( - 9 )
- 4 − ( - 9 )
- 4 − 9
What is the y-value when x = 0 in the function below? y=8x+7
Answer:
dfghjk
Step-by-step explanation:
lol
I WILL GIVE BRAINLIEST AND 80 POINTS IF YOU GET IT RIGHT
Answer:nice!
Step-by-step explanation:
if one batch needs 3/4 cups of oil. and she want to make 5 batches. how much would she need?
Answer:
3.75 cups of oil or 3 and 3/4 cups of oil
Step-by-step explanation:
Simple
1 batch=0.75 cups of oil(3/4)
5 Batch=? (Multiply by 5)
5 Batches=3.75 cups (or 3 3/4) of oil
Answer:thanks for the points I needed them
Step-by-step explanation:
A store pays $72 for a crystal vase. The store marks up the price by 50%. What is the amount of the mark-up?
Answer:
$36.00 markup
Step-by-step explanation:
$72 x 50% (0.50) = $36.00