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:
brainly.com/question/3924955
#SPJ2
Which list shows all the factors of 75? 1, 3, 5, 15, 25, 75 1, 3, 5, 13, 25, 75 3, 5, 13, 25 3, 5, 15, 25
Answer: 1, , 3, 5, 15, 25, and 75
Step-by-step explanation:
A factor is simply refers to a number that can divide another number without having any remainder.
Therefore, the factors of 75 are the number that can divide 75 without any remainder.
Factors of 75 include
= 1, 3, 5, 15, 25, and 75
a the person above is correct
The diameter of a round rug is 42 inches. What is the approximate area of the rug?
Answer:
441[tex]\pi[/tex] inches squared i think
Step-by-step explanation:
radius = 42/2 = 21 inches
area = [tex]\pi[/tex] x [tex](21)^{2}[/tex]
area = 441[tex]\pi[/tex]
area = 1385.44236
Evaluate the Following.
Answer:
29. 161
33. 4329
37. 163664/25
Explanation:
I hope it helps you
Which of the binomials below is a factor of this trinomial?
x^2-7x-44
Answer:
Two factors:
(x + 4) and (x - 11)
Step-by-step explanation:
Did not see list of possible binomials
I need help I will give brainliest !!!!
Answer:
i think its the third one
Step-by-step explanation:
Five years after it was purchased, a car lost 3/5 of its original value. The value of the car five years after it was purchased can be represented by the expression v-3/5 v, where v is the original value of the car. Which of the following describes another way to find the value of the car five years after it was purchased?
Answer:
oringal price ÷ a 3rd of it is the new price
Step-by-step explanation:
01010101010101010100101010100100101010101010010101101001010101101001010100101010101010100000000010101010101010010101010101010101011001001101010101010010101001010100101010110011010010101010101010101011001101010110101010101010110011001010101010101010010110010101010100101010010101010101010101010101010101001010101010010101010110: BINARY CODEEEEEEEEEEEEEEE
number 5 might be kinda of hard too read soory
Answer:
1. first one
2. there are no solutions that i see
Step-by-step explanation:
find the least common denominator and write the equal fractions 1/9 and 5/12
Answer:
LCD = 36
Equivalent Fractions with the LCD
1/9 = 4/36
5/12 = 15/36
Step-by-step explanation:
Answer:
lcd = 36
1/9 = 4/36
5/12 = 15/36
Step-by-step explanation:
area of a 12 ft circle
Beth owes 17,000 on her loan. The interest rate on her loan is 4.25%. She will be paying this loan off for 4 years. How much will Beth pay altogether
Answer:
She has to pay $20078.7 amount.
Step-by-step explanation:
Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.
To find : How much will she pay altogether?
Solution :
Using compound interest formula,
A = P(1 + r)
Where A is the amount
P is the principle P=17,000
P is the rate r=4.25%=0.0425
t is the time t= 4 years
Substitute the value,
Therefore, She has to pay $20078.7 amount.
Which of these expressions are equivalent to 4x+2(2x−5)−(3−5x) ? Choose the TWO correct answers.
a- 3x−13
b- 13x−13
c- 8x−5−3−5x
d- 8x−10−3−5x
e- 8x−10−3+5x
Answer:
4x+2(2x−5)−(3−5x) = 8x-10-3+5x
Step-by-step explanation:
We need to find the equivalent expression to 4x+2(2x−5)−(3−5x).
Using distributive property as follows :
a(b+c) = ab+ac
4x+2(2x−5)−(3−5x) = 4x+4x-10-3+5x
= 8x-10-3+5x
Option (e)
Hence, the correct option is (e) "8x-10-3+5x"
How can you write an equation of a line when you are given the slope and the y-intercept of the line? Explain
Answer:
The linear equation that represents each function is y=mx+b. While The m represent the slop so instead of writing you write the slope provided. Then multiply by the X + b which is your Y-intercept.
Here is an example,
The slope is 2/3 and the y intercept is 6, write a linear equation for this sequence.
y= (2/3). X +6
HOPE THIS HELPS!
Find the value of x
Pls look at the photo to answer
Answer:
B
Step-by-step explanation:
so 8(2)=16=5x-4
5x=20
x=4
so B
L
M
J
K
What’s the answer
Answer:
job is your not anybody else so don't your self
Step-by-step explanation:
you are welcome
Which of the following are composite numbers?
Check all that are true.
33
49
19
7
21
13.) An electrician has a piece of wire that is 3 feet long (36 inches). She needs a piece that is exactly 31.05 inches to fit perfectly in the outlet. How much wire will she have left over? *
O she needs to buy more baseboard, she doesn't have enough
O 4.95 inches
O 28.05 inches
O5.05 inches
Answer: 4.95 inches
Subtract: 36 - 31.05 = 4.95
Step-by-step explanation:
Whoever created this question hasn't done much real electrical work!
An outlet (also known as a receptacle) usually requires about 4 to 6 inches of wire within the junction box to make the connections, depending on what else may be connected in the box. We don't have to measure to 0.05 of an inch. The insulation may have to be stripped precisely to 3/8, 1/2 or 5/8 inch for connections.
The electrician used 3 feet of cable between junction boxes, and had 8 ¹/₂ inches pulled through the junction box. She needed 4 inches to connect the receptacle. How much the excess did she have to cut off?
Math questions should be realistic.
Use what you already know to find a, b, and c.
Input each value. Then click done. HELP ME PLEASE FAST!
Answer:
Use the "find vertically opposite angle" method.
a = 80°
To find the other angles:
Since the angles equal up to 360 which makes a full circle shape...
360 - 80 - 80 = 200 (B and C)
200 ÷ 2 = 100 (Angle for B and C since they are vertically opposite, hence having the same angle)
b = 100°
c = 100°
Subject:Mathematics
The Answer is 2nd one
69.08 cmExplanation :Given :Radius of a circle = 11 cmTo Find : Circumference of the circle = ?Solution :As, we have radius of the circle is 11 cm and to find circumferemce, we have a formula :
[tex] \large \underline{\boxed{\bf{Circumference = 2\pi r}}}[/tex]
By filling value of r = 11 cm and π = 3.14, we have :
[tex] \sf : \implies Circumference = 2 \times 3.14 \times 11 \: cm[/tex]
[tex] \sf : \implies Circumference = 2 \times \dfrac{314}{100} \times 11 \: cm[/tex]
[tex] \sf : \implies Circumference = \dfrac{628}{100} \times 11 \: cm[/tex]
[tex] \sf : \implies Circumference = \dfrac{6908}{100} \: cm[/tex]
[tex] \sf : \implies Circumference = 69.08\: cm[/tex]
Hence, circumference of the circle is 69.08 cm.
What is the volume of the figure? please help fassttt
Answer: 16 + 200 = 216
Step-by-step explanation:
What is the value of u?.........
got it!
the answer is 67
hope that helped
A rectangular floor is covered with 50 square tiles each of side 20 cm.What is the area of the floor?
helpppppp ppppplease
9514 1404 393
Answer:
x = 6.99 fty = 5.66 ftStep-by-step explanation:
The mnemonic SOH CAH TOA can remind you of the relevant relationships. The given side is the hypotenuse. x is the side opposite the given angle.
Sin = Opposite/Hypotenuse
sin(51°) = x/(9 ft)
x = (9 ft)sin(51°)
x ≈ 6.99 ft
__
Cos = Adjacent/Hypotenuse
cos(51°) = y/(9 ft)
y = (9 ft)cos(51°)
y ≈ 5.66 ft
please HELP ME AHHH need help
Jennifer babysits for x hours a week after school at a job that pays $10 an hour. She has accepted a job that pays $15 an hour as a cashier at a supermarket working y hours a week. She will work both jobs. She is able to work no more than 20 hours a week. Jennifer wants to earn at least $225 a week, working at both jobs.
Answer:
Jennifer can work 6 hours in her babysitting gig and 6 hours on her cashier shift.
Step-by-step explanation:
Babysitting: Cashier:
y = 10x y = 15x
Table (Hours) Table (Hours)
1 : 10 1 : 15
2 : 20 2 : 30
3 : 30 3 : 45
4: 40 4 : 60
5 :50 5 : 75
6 : 60 6 : 90
7 : 70 7: 112
8 : 80 8 : 120
9 : 90 9 : 135
10 : 100 10 : 150
11 : 110 11 : 165
12 : 120 12 : 180
13 : 130 13 : 225
14 : 140 14 : 210
15 : 150 15 : 225
16 : 160 16 : 240
17 : 170 17 : 255
18 : 180 18 : 270
19 : 190 19 : 285
20 :200 20 : 300
Hope that helps!
what is the answer to 630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?
Answer:
378 people
Step-by-step explanation:
60% of 630 = 0.6 × 630 = 378
Answer:
378
Step-by-step explanation:
60% of 630 = 378
If (a, -7) is a solution to the equation 8a = –35 – 5, what is a?
F. -1
G.O
H. 1
J. 4
Answer:
4
Step-by-step explanation:
I worked this out and I got 4
I think it is right
hope this helps :)
3) Which property is used in the following ?
9 x (4 + 2) = 9 x 4 + 9x2
Answer:
distributive
Step-by-step explanation:
You broke down the problem and made it longer instead of solving the parenthesies.
What is the value of X in rectangle DEFH
A. 10
B. 8
C. 15
D. 29
Answer:
B
Step-by-step explanation:
3x + 5 = 29
3x = 24
x = 8
FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (32pts)
Answer:
I think it's 36
Step-by-step explanation:
The scool store is ng a sae and has owed the prices of all D 50:30 The price of any can be described D-030
5475
5375
5805
Answer:
jsjsjjsnsjsjsjjsjdjdjdjdj
Step-by-step explanation:
nxjsjjdndndjjdjdjxjjdjsjjdjxjzjjsjsjdjsjsjsjdjjssjjdjdjdjdjdjdjdjdjdjdjdjjxjdjdjdjdjdjdjdjjsjdjsjdnxj jxjsnjxjxj