A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.
A sequence that starts with 0 is: 0, -6, -12, -18.....A sequence that starts with 3 is: 3, -3, -9, -15.....The complete question illustrates that we build a sequence of number.
Let the n term of the sequence be [tex]T_n[/tex].
2 times 3 less than the previous number means:
[tex]T_n = T_{n-1} - 2 \times 3[/tex]
Where:
[tex]T_n \to[/tex] The current number
[tex]T_{n-1} \to[/tex] The previous number
Assume the first number starts with 0, the next numbers will be:
[tex]T_2 = 0 - 2 \times 3 = -6[/tex]
[tex]T_3 = -6 - 2 \times 3 = -12[/tex]
[tex]T_4 = -12 - 2 \times 3 = -18[/tex]
So, the sequence is:
0, -6, -12, -18.....
Assume the first number starts with 3, the next numbers will be:
[tex]T_2 = 3 - 2 \times 3 = -3[/tex]
[tex]T_3 = -3 - 2 \times 3 = -9[/tex]
[tex]T_4 = -9 - 2 \times 3 = -15[/tex]
So, the sequence is:
3, -3, -9, -15.....
Read more about sequence at:
https://brainly.com/question/3649143
The measure of an angle is 87°. What is the measure of its supplementary angle?
Answer:
180-87 = 93
Step-by-step explanation:
supplementary angles add up to 180°
so (the other angle + 87)=180°
other angle =180-87=93°
Answer:
93 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees. Therefore, the equation for finding the supplementary angle to 87 would be:
[tex]87 + x = 180\\x=180-87\\x=93[/tex]
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Please help quick I still can’t figure it out
Step-by-step explanation:
3+21+7+3+21+7
what is the constant of the proportionality in the equation y = 7x
Answer:
7
Step-by-step explanation:
The equation of direction variation is
y = kx where k is the constant of variation
y = 7x so 7 is the constant of variation
Answer:
7
Step-by-step explanation:
The equation of direction variation:-
y = kx where k is the constant of variation -> Eq 1
y = 7x -> Eq 2
Comparing Eq 1 and Eq 2,
k=7
jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?
Answer:20 minutes per pound
we know that
To find the unit rate divide the total time by the total weight
Convert mixed number to an improper fraction
Convert hours to minutes
so
Find the unit rate
therefore
20 minutes per pound
What is the prime factorization of 81?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.
Answer:
[tex]3^{4}[/tex]
Step-by-step explanation:
81
27 3
9 3
3 3
3*3*3*3 = [tex]3^{4}[/tex]
Prove cot(− θ) =− cot(θ)
Step-by-step explanation:
steps are in the picture.
Note:If you need to ask question about it ,i can make you understand.thanks
helpppppppppppppppppppppppppppp
Answer:
c. {1/15,16,1/17,18}
Step-by-step explanation:
please follow me
Answer:
[tex]{ \sf{set \:A \: and \: B }}[/tex]
is 16 a natural, whole, integer, rational or irrational number?
Answer:
16 is a natural, whole and integer
Step-by-step explanation:
16 is a natural, whole and integer
it is not rational or irrational because
rational numbers are written in p/q as well as irrational
natural numbers start from 1 till infinite
whole numbers start from 0 to infinite
integers include all the positive and negative numbers
The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _
Answer:
[tex](\frac{-5}{2} ,-1)[/tex]
Step-by-step explanation:
(-2 + -3)/2 , (-10+8)/2
-5/2,-1
Ramesh buys 10 containers of juice from one shop and 18 containers of the same juice
from another shop. If the capacity of each container is same and the cost of each of the
container is ₹150, find the total money spend by Ramesh.
4200
Step-by-step explanation:
10 × 150 = 1500
18 × 150 = 2700
So
1500 + 2700 = 4200
A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
The forest will cover an area of approximately 2994 square kilometers after 10 years.
Step-by-step explanation:
A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.
We can write an exponential function to represent the situation. The standard exponential function is given by:
[tex]\displaystyle f(x) = a(r)^x[/tex]
Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).
Since the original area is 5000 square kilometers, let a = 5000.
Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.
Thus, our function is:
[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]
Then after 10 years (x = 10), the area will be:
[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]
In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.
4. Your first six-month auto insurance premium was $729.00. Based on your good
driving record, your renewal premium is $648.81. What percent decrease did you see
in your premium? (2 points)
I
Answer: 11%
Step-by-step explanation:
729-648.81=80.10
What percent is 80.10 of 729
%/100 = is/of (this may help you)
X/100 = 80.10/729 (cross multiplication)
(80.19*100)/729 =
11%
please help with me #15 and #16
Answer:
just solve equation and you will get to know that
15 is d becoz both 8 gets cancelled
and
16 is b becoz then equation is simplified to x = smthng
7. You are on a field trip. You have to travel 73 miles to reach
your destination. You have traveled 29 miles so far. How
much further do you have to travel?
10 marbles.
Answer:
44
Step-by-step explanation:
Take the miles you already traveled and subtract it from the total.
73-29=44
If you graph a function and it looks like a circle, it will pass the vertical line test.
True or False
Answer: false
Step-by-step explanation:
Since it is a circle, when you draw the line it will meet at two points which fails the vertical line test. In order to pass the vertical line test it must only meet at one point.
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $77. A season ski pass costs $450. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
5
Step-by-step explanation:
Given:
Daily pass = $77Season ski pass = $450Skis = 2077 + 20 = 97
450 + 20 = 470
Keep multiplying 97 with random numbers until it passes 470.
97 × 4 = 388
97 × 5 = 485
So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.
Hope this helped.
The period of a compound pendulum is given by T=2π√(h²+k²/gh) express k in terms of T,h and g
Answer:
qss-qvcj-kwr join guys iam bored
-9(1 - 10n) - 2(3n + 9)
Step-by-step explanation:
-9(1-10n)-2(3n+9)
-9+90n-6n-18
-9-18+90n-6n
-27+84n
3(-9+28n)
Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked
fraction into the statement 1:50000
Answer:
am I supposed to change this to a statement like a sentence then one is to fifty thousand
Solve the inequality. Graph the solution - 30 points
[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]
[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]
[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]
[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]
Hence
It has no solutions
Answer:
A. All Real Numbers
Step-by-step explanation:
26 + 6b ≥ 2(3b + 4)
~Simplify
26 + 6b ≥ 6b + 8
~Subtract 26 to both sides
6b ≥ 6b - 18
~Subtract 6b to both sides
0 ≥ -18
Best of Luck!
Find the value of x.
A. 5.58
B. 9.14
C. 15.2
D. 10
PLEASE HELP!!! :(
Answer:
D. 10
Step-by-step explanation:
[tex]{ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}[/tex]
which answer shows a reflection across the x -
Answer:
In transformations a reflection across the x axis produces a mirror image.
I will give brainlist to whoever will do this for me and I will help with anything you need
-2, 7, 16 ..... Determine the general rule (Tn) for this sequence
Answer:
It is Tn = 9n - 11
Step-by-step explanation:
It is an arithmetic progression:
[tex]T_{n} = a + (n - 1)d[/tex]
a is the first term, a = -2
n is number of terms
d is common difference, d = 7-(-2) = 9
[tex]T_{n} = - 2 + \{ (n - 1) \times 9 \} \\ T_{n} = - 2 + 9n - 9 \\ T_{n} = - 11 + 9n \\ T_{n} = 9n - 11[/tex]
Answer:
[tex]T_{n}[/tex] = 9n - 11
Step-by-step explanation:
There is a common difference between consecutive terms, that is
7 - (- 2) = 16 - 7 = 9
This indicates the sequence is arithmetic with nth term
[tex]T_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 2 and d = 9 , then
[tex]T_{n}[/tex] = - 2 + 9(n - 1) = - 2 + 9n - 9 = 9n - 11
Pls help me out on this question, Find the sum of this first 8 terms of the Arithmetic Progression. log x, log x2, logx3
HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???
Answer:
180 degrees
Step-by-step explanation:
Solve for mZJKL.
K
88°
629
M
And find answer for mJKL
Answer:
I DONT KNOW SORRY BRO
Step-by-step explanation:
2. What is the additive inverse of -7? (1 point) 0-7 07 O-1-7 O-(-(-7)
Answer:
for additive inverse you change the sign of the given number so i think its 7
Step-by-step explanation:
Integral sin(3x+3)dx
Step-by-step explanation:
steps are in picture above.
Note:if you have any question please let me know.
