Answers
Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):
[tex]i[/tex] [tex]a_{i}[/tex]
1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):
[tex]i[/tex] [tex]a_{i}[/tex]
1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)
Where:
[tex]a_{1}[/tex] - First element of the sequence.
[tex]r[/tex] - Arithmetic difference.
[tex]i[/tex] - Index.
If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:
[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]
c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:
[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]
[tex]a(25) = 126[/tex]
The 25th term in the sequence is 126.
Related Questions
Help!!! I’ll give brainliest
The width of Gabby's backyard is 4 meters shorter than its length, and its area is equal to 120 square meters Which equation can be used to find the possible values for the length of Gabby's backyard, x?
Answers
Answer:
B
Step-by-step explanation:
y=3x +5
y=x+3
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.
Answers
WHAT IS THE MEASURE OF ANGLE F?
Answers
Answer:
Hello! answer: 25
Step-by-step explanation:
x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!
Can someone plz help me find the vertex and the stretch factor
Answers
Answer:
(1,-25)
Step-by-step explanation:
I believe the answer is (1,-25) because when the function is graphed the vertex is at the point x=1 y=-25
Write equation of a line through the points (4,2) and (6,-4)
Answers
Answer:
y = -3x - 2
Step-by-step explanation:
to find slope use m= y2-y1/x2-x1
m= -4-2/6-4
m= -6/2
m=-3
then use point slope formula (y-y1) =m(x-x1)
(y-2) = -3(x-4)
simplify
y-2 = -3x - 4
turn into slope intercept form
y = -3x - 2
how to find compound intrest
Answers
Answer:
A = Accrued amount (principal + interest)
P = Principal amount.
r = Annual nominal interest rate as a decimal.
R = Annual nominal interest rate as a percent.
r = R/100.
n = number of compounding periods per unit of time.
t = time in decimal years; e.g., 6 months is calculated as 0.5 years
(THIS ANSWER IS NOT MINE BTW- CREDITS TO THE OWNER))
Can someone help me pleaseeee!!!:(
Answers
Answer:
Step-by-step explanation:
math is a thing pls like this it was meaningful ;;;;;;;;;0
Answer:
Step-by-step explanation:
Nah
A bag contains 3 apples, 5 oranges, and 2 pears. Determine the probability that you select 2 apples when they are chosen at random with replacement .
A-1/10
B-3/10
c-9/100
d-3/20
Answers
Answer:
PITYPEEPOEPEO
jdskfdslmf
Step-by-step explanation:
fnkasmkml;cmensa
Find the value of X please help
Answers
Answer:
x = 119°
Step-by-step explanation:
The angle between chord KJ and chord LM is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (75 + 47)° = 0.5 × 122° = 61°
This angle and x are adjacent angles and sum to 180° , then
x = 180° - 61° = 119°
What number multiples to -12 and adds to 4 (factoring: diamond method)
Answers
Answer: - 2 and 6
Step-by-step explanation:
Answer:
6 and -2 multiply to -12 and adds to 4
Please help
A. 5 units
B. 6 units
C. 8 units
D. 10 units
Answers
Answer:
Pretty sure its C?
What is the difference between a 30° angle and a -30° angle?
Please provide a complete sentence or two.
Answers
Answer:
See below
Step-by-step explanation:
A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.
Answer two questions about Equations AAA and BBB: A. 2x-1+3x=0 B.5x-1=0. How can we get Equation BBB from Equation AAA? and is equation A and B equivalent?
Answers
Answer:
you would simplify equation a by combining 2x plus 3x. yes they are equivalent. you can use any x to make the equation true.
Step-by-step explanation:
Answer:
Multiply/divide both sides by the same variable expression
No
No links please or I’m reporting you
Answers
Answer:
quadrant 2 the last option
Step-by-step explanation:
hope this helps!
A number divided by four is at most 6. Which choice is correct??
A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6
Answers
If the spinner is spun twice, what is the probability that the spinner will stop on a vowel then a consonant?
pls help c:
Answers
[tex]\\[/tex]
[tex]\large\mathfrak\red{\underline{Step\:by\:step \:explanation}}[/tex]
[tex]\dashrightarrow[/tex]There are 2 (L and Z) consonants out of 6 letters.
[tex]\\[/tex]
[tex]\red\bigstar[/tex]The probability of getting a consonant
[tex]\pink\implies[/tex] 2/6 = 1/3
[tex]\\[/tex]
[tex]:\red\implies[/tex]When we spin the spinner second time, we will get the same probability
= 2/6 = 1/3
[tex]\dashrightarrow[/tex]The probability that the spinner will stop on a consonant then again on a consonant
= 1/3 x 1/3
= 1/9
[tex]\red\bigstar\mathfrak \pink{Therefore, the \: answer \: is \: B) 1/9}[/tex]
[tex]\rule{300px}{.7ex}[/tex]
[tex]\large\tt\purple{\underline{ElegantLavender~}}[/tex]
Option B is correct - 1/9
A glide reflection is a composition of a line reflection and a translation that is parallel to the line of reflection. Unlike some composition of transformations, a glide reflection IS ____________________. Therefore, the line reflection and translation can be done in any ____________.
Answers
Answer:
" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."
Step-by-step explanation:
Transformations can be written as operators that act on functions or shapes.
For example, we can define the horizontal translation operator as:
T(k)
And if we apply this to a function, we get:
T(k)[ f(x) ] = f(x - k)
Now, the operators are not necessarily commutative.
This means that if we have two operators:
K and L
is not the same:
K[ L[ f(x) ]]
than:
L[ K[ f(x) ]]
An example of this can be a reflection across the y-axis and a horizontal translation, that composition is non-commutative.
Now, let's go to our case.
A glide reflection is commutative, so we can perform the transformations in any order, then the statement is:
" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."
HELP PLEASE What is the area of the regular trapezoid below?
A trapezoid has a base of 10 centimeters, height of 8 centimeters, and top side length of 6 centimeters.
64 Centimeters squared
80 Centimeters squared
240 Centimeters squared
480 Centimeters squared
Answers
Answer:
64 Centimeters squared
Step-by-step explanation:
Formula for the Area of a trapezoid:
A = a+b
----- h
2
a (base) = 6
b (base) = 10
h (height) = 8
6+10 = 16
16/2 = 8
8 times 8 = 64
Identify the slopes and y intercept?
Answers
Answer:
answer for number 9 : slope is 3/7 and the y intercept is (0, -2/7 )
answer for number 10 : slope is 4/7 and the y intercept is (0,10)
Step-by-step explanation:
here i hope this helped you
Can someone do this? Ty
Answers
Answer:
Step-by-step explanation:
C) Sarah is trying to say that 72 and 64 are opposite, if 68 is used as the starting point. So from the point 68, 72 is +4 and 64 is -4. 68 is the "baseline" or starting point
Sandy paid $27 for her new sweater. If the sweater was on sale for 25% off, what was the original price?
Answers
Answer:
The answer is $36
Step-by-step explanation:
Took the Star Math Test
Answer:
$36
Step-by-step explanation:
100% - 25% = 75%
75% as a decimal = 0.75
75% = 27
75% as a decimal = 3/4
So 3/4 x = 27
27 x 4 = 108
108 / 4 = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Sylvie is going on vacation. She has already driven 63 miles in one
hour. Her average speed for the rest of the trip is 58 miles per
hour. How far will Sylvie have driven 5 hours later?
Answers
Answer:
353 miles
Step-by-step explanation:
58 x 5 = 290
290 + 63 = 353
what is the slope of the line represented by the equation
y= -1/2x +1/4?
a.-1/2
b.-1/4
c.1/4
d.1/2
Answers
Answer:
a). -1/2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
From the equation of a line, y = mx + c where m is the slope.
Clarence made a scale drawing of a classroom. The scale in the drawing is 2 inches represents 9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the scale drawing
Answers
Estimate 11.14+9.543 by first rounding each number to the nearest tenth.
HELP PLSZZ
Answers
To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.
11.14
The digit is below 5, so we round down to 11.1.
9.543
The digit is also below 5, so we round down to 9.5.
Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.
If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.
Is 5x^2-8x+4/x+11x^5/2 a polynomial? True or False. Justify your answer
Answers
Answer:
false..................
The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P (5)
Answers
Answer:
1 /8
Step-by-step explanation:
Given that :
Number of sections on spinner = (1,2,3,4,5,6,7,8) = 8
Number of 5's = 1
Recall :
Probability of event A = number required outcome / Total possible outcomes
P(5) = 1/8
Round your answer to the nearest hundredth.
Answers
Answer:
26
Step-by-step explanation:
26
product of -3/7a and -21/15b
Answers
Answer:
182857142857/100000000000
❗️❗️❗️please answer fast‼️‼️‼️‼️
Answers
Answer:
72°
Step-by-step explanation:
The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.