Write an explicit formula for each sequence given below.
Part A
1,-10, 100,-1,000, 10,000
Explicit Formula: In =
Part B
10.2, 2.2, -5.8, -13.8, -21.8
Explicit Formula: an =
Answers
Answer:
The first five values are 12, 14, 16, 18 and 20
The recursive formula is as follow
Step-by-step explanation:
Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.
For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer
The first five values are 12, 14, 16, 18 and 20
A recursive formula is one that
a) Mentions the initial term
b) provides a formula connecting the previous term to the existing term.
Since we know the first term is 12, i.e and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas
The over all formula is as follow
Step-by-step explanation:
Hope this helps:)
Related Questions
Line v passes through points (5, 4) and (10, 2). Line w is perpendicular to v. What is the slope of line w?
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]
What is the relationship between the 9 in the hundreds place and the 9 in the tens place in 2,743,995?
Answers
Hundred and tenths are the relationship of 9 in the number
Answer:
The 9 in the hundreds column is ten times greater than the 9 in the tens column.
Step-by-step explanation:
Rewrite without parentheses and simplify.
(check my page and answer my other questions if u can please it would mean alot)
Answers
Answer:
x² +14x +49
Step-by-step explanation:
Use the distributive property and collect terms.
(x +7)² = (x +7)(x +7)
= x(x +7) +7(x +7)
= x² +7x +7x +49
= x² +14x +49
At a sale this week, a table is being sold for $119. This is a 65% discount from the original price.
What is the original price?
Answers
Answer:
77,35
Step-by-step explanation:
Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The correct Choice is ~ D
a || b by the converse of the same side interior angles
Shawna has a photo album with space for 160 pictures. She has 33 pictures of her family, 48 pictures from summer camp, and 57 pictures from school. Does she have enough pictures to fill the photo album?
Answers
and she will be able to have 22 more photos
sincd 160-138 is 22
Suppose you roll a pair of six-sided dice and add their totals, What is the probability that the sum of the numbers on your dice is a number other than 11
Answers
Answer:
17/18
Step-by-step explanation:
total number of outcomes=6×6=36
favorable outcomes for a total of 11=56,65
number of favorable items for a total of 11=2
P(a total of 11)=2/36=1/18
P(for a total other than 11=1-1/18=(18-1)/(18)=17/18
Rico had $80. He spent 40% on snacks and 1/4 on travel and kept 1/2 of the remainder for the next day.
Answers
Answer:
$4????
Step-by-step explanation:
I searched 40% of 80 and got 32, then 1/4 of 32, which was 8, then that in half was 4. I am not sure if it is right or if 8 was the final answer.
(1/2)power 5=?? please help
Answers
[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]
Answer:
[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]
Step-by-step explanation:
[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]
[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]
[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]
[tex] \\ \tt = \frac{1}{32} [/tex]
Whats the area and the perimeter of this shape. show calculations
Answers
Answer:
The answer is 15 cm
Step-by-step explanation:
as one square is 1 cm and there are 15 squares used for this shape then it is 15 cm
5. The price for
seedless oranges is $1.55 for the first
pound and $0.75 for each additional pound. Paul Paid $
5.35 to buy sour oranges.
How many pounds of seedless oranges did he buy?
Answers
Answer:
5 1/15 lb
Step-by-step explanation:
Equation:
5.35 = 1.55 + 0.75x [tex]\longmapsto\\[/tex] Subtract 1.55 from both sides
3.8 = 0.75x [tex]\longmapsto[/tex] Divide both sides by 0.75
5 1/15 lb
-Chetan K
Answer the following:
a) 3-8=
b) -6 -4 =
c) -2 + 6 =
Answers
Answer:
a) =5
b) = -10
c) = 4
Step-by-step explanation:
A 4-digit number is made up of different odd digits.
Write the greatest possible number that it can be?
Answers
Answer:
9753
Step-by-step explanation:
The total amount of snowfall last ski season was 50 inches. This season, the total amount was 56 inches. The
percent of snowfall this year is what compared to last year?
Answers
Answer:
12% increase compared to last years
Step-by-step explanation:
HELLOPPPPPPPPPPPPPPPP
Answers
Answer:
Hello!
Judging by the link you provided I have come up with the correct solution:
x= 61°
y= 29°
Step-by-step explanation:
I will link my work below:
The first step to finding the two solutions it to first identify one of them.
I chose to identify x first.
To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.
Thus you can simply find the value of x by doing this formula:
x+29°=90°
You then subtract 29° from both sides to simplify, and you come up with the solution
x=61°
Now we need to find the value of y.
To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).
The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.
Thus you can assume that:
x+y=90°
x= 61°
61°+y=90°
You then subtract 61° from both sides to get:
y=29°
HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER
Answers
Answer:
The answer is A.
Step-by-step explanation:
5 - 1 = 4
10 - 6 = 4
15 - 11 = 4
20 - 16 = 4
25 - 21 = 4
Answer:
The correct answer should be B
Step-by-step explanation:
B is also number 5
Hello I need help help help help
Answers
x = 16
7 times 2 = 14
8 times 2 = 16
Hope that helped:)
sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?
Answers
S(S+8) = 105
S^2+8S-105 = 0
(S+15)(S-7) = 0
Sam’s sister is 7 years and Sam is 15 years old.
Try solving this equation. m + 18 = -112
Answers
-----------------------------------
m + 18 = - 112
m = -112 - 18
m = - 130
<3
Answer:
m=94
Step-by-step explanation:
m+18=‐112m=‐112‐18=‐94m=‐94a
In a math class with 25 students, a test was given the same day
that an assignment was due. There were 15 students who passed
the test and 20 students who completed the assignment. There
were 13 students who passed the test and also completed the
assignment. What is the probability that a student passed the test
given that they did not complete the homework?
a
Answers
Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:
p = 2/5 = 0.4 = 40%.
0.4 = 40% probability that a student passed the test given that they did not complete the homework.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
how many 3/4 are in 11/4
Answers
Answer:
11
1
11 over 1
Step-by-step explanation:
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
Answers
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
Consider the figures below. Which of the following statements are true, given <S is congruent to <J and <N is congruent to <E? Select all that apply.
<A is congruent to <O
Triangle SAN~TriangleJOE
Triangle SAN is congruent to Triangle JOE
SN is congruent to JE
The perimeter of Triangle JOE is half the perimeter of Triangle SAN
There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN
There exists a sequence of rigid and non-rigid motions that maps Triangle SAN onto Triangle JOE
Answers
Answer:
<A is congruent to <O
Triangle SAN~TriangleJoe
There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN
Step-by-step explanation:
So sorry if i am wrong!! I hope this can help!
Answer:
A
B
G
Angle A is congruent to angle O
Triangle SAN ~ Triangle JOE
There exists a sequence of rigid and non-rigid motions that maps triangle SAN onto triangle JOE
Step-by-step explanation:
Just got the question wrong, this was the correct answer
what percent of 12.9 is 11.2? round to the nearest hundredth of a percent.
what percent of 12.9 is 11.2 round to the nearest hundredth of a percent
Answers
What is tan(50)?
-.57
5.88
2.36
1.19
Answers
Answer:
1.19
Step-by-step explanation:
tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918
What is 6/9 divided by 1/3
Answers
Answer:
2
Step-by-step explanation:
6/9÷1/3
Keep Change Flip
6/9 x 3/1
Multiply.
6/3
=2
Hope this helps :)
Answer:
2
Step-by-step explanation:
we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2
7x when x=3
Please help
Answers
Answer:
21
Step-by-step explanation:
7x, x=3. Plug x in as 3. 7x3=21.
5 is 10% of what plz i need help
Answers
Answer:
50
Step-by-step explanation:
HELPPP LAST ATTEMPT!!
Answers
Hope this helped!! :)
I will mark brainlist
Determine whether points A, B, and C can be vertices of a triangle. If so, classify the triangle as acute, right, or obtuse.
A (3,1); B (5,6); C (4,2)
Acute
Right
Obtuse
None of these
Answers
Answer:
A Obtuse, B Acute, C Right I think its right
Step-by-step explanation: