Answer:
The sequence is 2, 4, 8, 16, 32
The next answer is 2
Step-by-step explanation:
The missing terms of the required sequence are 8, 16 and 32 respectively.
What is a geometric sequence?In a geometric sequence, the ratio of two consecutive terms are always equal.
The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .
The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)
The given sequence is 1, 3, 7, 15, 31, 63...
Then, the sequence formed by subtracting the consecutive terms are given as,
3 - 1, 7 - 3, 15 - 7, 31 - 15, 63 - 31 .....
Which can be rewritten as,
2, 4, 8, 16, 32......
It is a geometric sequence as ratio of the consecutive terms are equal,
4/2 = 8/4 = 16/8
Hence, the required sequence is a geometric sequence found as 2, 4, 8, 16, 32......
To know more about geometric sequence click on,
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In March it rained 0.88 inches. It rained 0.3 inches less in April than in March. How much did it rain in April?
Answer: 0.58 inches
Step-by-step explanation:
Given
Rainfall in march is 0.88 inches
Rainfall in April is 0.3 inches less than rainfall in march i.e.
Rainfall in April is given by
[tex]\Rightarrow 0.88-0.3=0.58\ inches[/tex]
evaluate this expression for a=3
The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches
Answer:
simplified its 5:4 for juniors to freshmen's
Step-by-step explanation:
Answer:
5 : 4
Step-by-step explanation:
Ratio of juniors to freshmen = 15 : 12
15 = 3 * 5
12 = 3 * 4
GCF = 3
15 : 12 = 15÷3 : 12÷ 3
= 5 : 4
Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve.
Based on the riddle, which statements must be true? Check all that apply.
Answer:
27
Step-by-step explanation:
x-15=12
x=15+12
x=27
Answer:
27
Step-by-step explanation:
What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?
Answer:
V≈950.78m³
Step-by-step explanation:
The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?
Answer:
a. 120 degrees
b. 2.0944 radians
Step-by-step explanation:
From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math
20 / 5min = 4 times
4 * 30 degrees = 120 degrees
We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula
degrees * [tex]\pi /180[/tex] = radians
120 * [tex]\pi / 180[/tex] = radians
2.0944 = radians
Megan has a bag of 6 green, 1 yellow, and 3 purple blocks. She draws a block, replaces it, and then draws another block. What is the probability that the two blocks are the same color?
Answer:
2/10 20%
Step-by-step explanation:
A number x increased by 5 is greater than or equal to 25.
Answer:
equal tell me if i'm wrong
Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60
Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging
which graph best represents the distance Carly went?
Answer:
I believe D
Step-by-step explanation:
The reason is she starts off slowly but then keeps on gaining up and up.
A(5,1)B(x,7) C(8,2) are three points such that AB=2AC find all values of x
Parallel Lines cut by a transversal
Answer:
-4
Step-by-step explanation:
1. They are alternate exteriors meaning they are supposed to be the same so you sort the equation like 134+x=130
2. Then you pass 134 both side like ×=130
-134
3. Which will equal :-4
Find the value of x. The figures are not drawn to scale. Pis the center of the circle.
Answer:
6.7 feet i think...
Step-by-step explanation:
the middle line is 12 feet and the dot is about in the middle of the line
Answer:
6.7
Step-by-step explanation:
if you look very closely you can see the other explanation above mine
You're Welcome!
HELP ASAP!!!
Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?
ONLY ANSWER WITH LOGIC REASONING AND NOT FOR POINTS please.
If the sum of the squares of the legs of a right triangle are = to 144, the hypotenuse is...
Answer: 12
Step-by-step explanation:
H^2=144
Square root of 144
H=12
Find the measure of angle F
Answer:
∠ F = 80°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
7x + 7x + 4x + 7x + 7x + 4x = 720
36x = 720 ( divide both sides by 36 )
x = 20
Then
∠ F = 4x = 4 × 20° = 80°
Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.
solve the following quadratic equation (x-16)^2=256
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Answer:
[tex]sln \\ x {}^{2} - 16 {}^{2} = 256 \\ x {}^{2} = 256 - 16 {}^{2} \\ x {}^{2} = 256 - 256 \\ x {}^{2} = 0 \\ x = 0[/tex]
I hope this help you
I won 70 stickers. I gave 1 to each student. I have
54 left. How many did I give away?
Answer:
16
Step-by-step explanation:
70-54=16
Answer: you gave away 16 stickers
Step-by-step explanation: if you have 70 and you give one to each student, to find the amount you lost you would do 70-54 because that’s how many u have left and it leaves u with 16
hi can you please help me with this. the question is in the picture:)
An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of angelfish to
seahorses?
Answer:
Ratio= 7:9
Step-by-step explanation:
What is the ratio of angelfish to seahorses?
14 angel fish : 18 seahorses
14:18 = 7:9
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 363 square feet. The width of the basement is 1 3 its length. What is the length of Louis's basement? The length is feet.
Answer:
the length is 33 feet
Step-by-step explanation:
The computation of the length is shown below:
Let us assume the length be x
So the width be 1 by 3 x
And the area is 363 square feet
So
As we know that
Area = length × width
363 = x × 1 ÷ 3 x
363 = 1 ÷ 3x^2
Now
363 × 3 = x^2
1089 = x^2
x = 33 feet
hence, the length is 33 feet
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is 181 tons. What is the weight of each train?
PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes
Answer:
6 hours and 25 minutes
Step-by-step explanation:
10:15 to 4:40 = 6 hours and 25 minutes
Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.
A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter
Yes, Can Change No, Can't Change
Find the value of x.
Answer:
x= 35.7339234
Step-by-step explanation:
cos(52)= 22/x
x= 22/cos(52)
Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L
B 0.7 L
C 8.3 L
D 17.1 L
Answer:
the answer is d 17.1 L
Step-by-step explanation:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.
Answer:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m
One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answer:
the answer is H.
Step-by-step explanation: