Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9
Answers
Answer:
Option E
Step-by-step explanation:
Explicit formula of a geometric sequence is,
[tex]T_n=a_1(r)^{n-1}[/tex]
Here, [tex]a_1=[/tex] First term
[tex]r=[/tex] common ratio
[tex]n=[/tex] number of terms
If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]
Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]
[tex]r=\frac{9}{18}[/tex]
[tex]r=\frac{1}{2}[/tex]
By substituting these values in the formula,
[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]
Therefore, Option E is the answer.
Related Questions
Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answers
Answer:
4
Step-by-step explanation:
a number y is 15 larger than a positive number x. if their sum is not more than 85, what are the possible values of y?
Answers
Answer:
y = x + 15 –(1)
x + y = 85
Putting (1)'s value,
x + x + 15 = 85
2x + 15 = 85
2x = 85 - 15 = 70
x = 70/2 = 35
[tex][/tex]
The value of y is 50.
Two simultaneous equations can be formed from the given question:
y - x = 15 equation 1
y + x = 85 equation 2
In order to determine the value of x, subtract equation 1 from 2
2x = 70
Dvidie both sides of the equation by 2
x = 70 / 2
x = 35
Substitute for x in equation 1
y - 35 = 15
y = 35 + 15
y = 50
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Pls help will mark brainliest
Answers
a) 55
b) 8
c) 3
simplify 6p/p-1 - p+5/p-1
Answers
Answer:
-(p+1) (p-5)/ P
Step-by-step explanation:
Helpppp pleaseee :]]
Answers
the temperature at 7 am is what the -5 represents
Help! Ty in advance
Answers
Answer:
d
Step-by-step explanation:
Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)
Answers
Answer:
-500 (I think)
Step-by-step explanation:
A small auditorium can seat 320 people. Which inequality best represents the number of
people, p, who can sit in the auditorium?
p> 319
p < 321
P> 320
p<319
Answers
Answer:
p 320
Step-by-step explanation:
Help please gotta pass
Answers
Answer:
(59,93)
Step-by-step explanation:
What is 1/2 off of 3.48
Answers
Answer:
2.98
Step-by-step explanation:
1/2 as a decimal is 0.5 so 3.48 - 0.5 is 2.98
Find the value of x to the nearest tenth.
7
10
6
Answers
Answer:
2524868254
Step-by-step explanation:
0pork si pana espero haberte ayudado
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?
Answers
Answer:
See the detailed answers below
Step-by-step explanation:
Given data
Ratio= 1:4:7
combined ratio= 1+4+7= 12
Total amount= $636,000
Apply the part to all method
The first person will take
1/12= x/ 636,000
cross multiply
12x= 636,000*1
x= 636,000/12
x= 53000
The second person will take
4/12= x/ 636,000
cross multiply
12x= 636,000*4
x= 2544000/12
x= 212000
The third person will take
7/12= x/ 636,000
cross multiply
12x= 636,000*7
x= 4452000/12
x= 371000
Expand (2+x)(2-x). If necessaty combine like terms
Answers
Answer:
Step-by-step explanation:
(2+x)(2-x)
2(2-x)+x(2-x)
4-2x+2x-x^2
4-x^2
Which number line shows the solution to this inequality??
Pls help it’s very easy !!
Answers
4
20.9÷10
10 points pls help
Answers
Answer:
SO first we need to get our numbers.
WE see 20.9 and 10.We learned in school that when
you multiply decimals itll show the placr its in.
So it basically shows you the answer.
Now lets divide, 20.9 divided by 10=2.09
Hope this helped my g!
Step-by-step explanation:
Please help asap. I can't remember how to work this problem. 50 points.
Find the area of the following shape. You must show all work to receive credit.
Answers
Answer:
Step-by-step explanation:
66 Square Feet I think?
Please help. I have no clue and this is due in 15 min. Any help appreciated
Answers
Answer:
the value of x is 9 degree
arc JK =68 degree
arc MJ=112 degree
i think the value of arc LMK is 180 degree(not sure)
Step-by-step explanation:
Hope it helps yuo!!
Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?
Answers
Answer:
The volume of the cylinder is324 п cm
The area of the base of the cylinder is 81 п cm
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
n x (9^2) x 4 = 324n
Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π
Solve the system of linear equations.
2x + 3y = 5
X+ y = 5
Answers
Answer:
Step-by-step explanation:
(10,-5)
Which set of ordered pairs can be used to graph the equation y = x – 2
Answers
Answer:
X Y
0 -2
1 -1
PLEASE MARK BRAINLEIST THANK U
need help ASAP PLEASEEE
(+105) / (-7)
Answers
Answer:
-15
Step-by-step explanation:
Answer:
the answer is 15 and 0 remainder
Step-by-step explanation:
How many glasses like the one shown can be filled three quarters full from a pitcher holding 150 cubic in ches of water.
Answers
Answer:
6
Step-by-step explanation:
I had this question
Find the measure of angle b. PLZ HELP AND SHOW WORK
Answers
Answer:
1) A because of vertical angle theorem (VAT), which means that b=37 degrees
2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees
3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees
4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees
5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees
what is the length of side a?
Answers
Answer:
c
Step-by-step explanation:
What is the distance between two points(0,0)(-3,5)
Answers
Step-by-step explanation:
Think of it like a right triangle. Do you have a graph handy?
Ok, graph both of the points. Now connect the points. That's our hypotenuse and the side length we want to find.
Now, bring down a line from (-3,5) to the x axis. Do you see a right triangle?
All we have to do is find the hypotenuse of this right triangle we just drew. We already have the leg lengths which are 3 and 5. Using this, do the pythagorean theorem.
9+25=34
√34 is our hypotenuse & distance between the points
Answer:
[tex]\displaystyle d = \sqrt{34}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, 0)
Point (-3, 5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3-0)^2+(5-0)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-3)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{34}[/tex]solve the equation using the quadratic formula
2n^2+3n=-54
a) {4,-9}
b) {6,-2}
c) {9,-3}
d) {-4 1/2, 6}
Answers
Answer:
Step-by-step explanation:
Rewrite this quadratic equation in standard form: 2n^2 + 3n + 54 = 0. Identify the coefficients of the n terms: they are 2, 3, 54.
Find the discriminant b^2 - 4ac: It is 3^2 - 4(2)(54), or -423. The negative sign tells us that this quadratic has two unequal, complex roots, which are:
-(3) ± i√423 -3 ± i√423
n = ------------------- = ------------------
2(2) 4
On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?
Answers
Answer:
7.8 miles.
Step-by-step explanation:
5.2 x 1.5 = 7.8
Question 15 (1 point)
A teacher has a bag of marbles. There are 10 red, 10 blue, 8 green, 8 purple, and 8
yellow marbles in the bag. As the students enter the classroom, they draw a marble
and keep it. If the first student in the room draws a yellow, and the second draws a
blue, what is the probability that the third student will draw a green?
19%
O 21%
15%
17%
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Page 15 of 16
Answers
Answer:
19%
Step-by-step explanation:
(8/42) * 100 = 19%
Thenks and mark me brainliest :))
Answer:
The probability that the third student will draw a green is 19%.
Step-by-step explanation:
Definition of Probability Probability means possibility of occurrence. It is a branch of mathematics which deals with the occurrence of particular event out of some random events.Given marbles 10 red, 10 blue, 8 green, 8 purple, and 8 yellow marbles .
Therefore total marbles will be 44.
Since the first student in the room draws a yellow, and the second draws a blue ,thus remaining marbles will be 42.
So, the probability that the third student will draw a green is [tex]\frac{8}{42}[/tex]×[tex]100\\[/tex] = 19%
click here to know more about the probability.
https://brainly.com/question/24756209
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Solve this riddle I come in lots of colors and I can swallow a 1000 sheep what am I?
Answers
Answer:
A dragon maybe?
Step-by-step explanation:
1. What are the answer choices??
I say a dragon because a dragon comes in different colors and looks big enough to swallow 1000 sheep.
Could you be more specific???
You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05