Identify the pattern for the following sequence. Find the next three terms in the sequence.5, 2, -1, -4, ____, ____, ____,...
a.
Subtract 3; -7, -10, -13
b.
Add 3; -7, -10, -13
c.
Subtract -3; 7, 10, 13
d.
Add 3; 1, 4, 7
Answers
Final answer:
The pattern in this sequence is subtracting 3 each time. The next three terms in the sequence are -7, -10, and -13, making the correct answer option a.
Explanation:
The pattern in this sequence is decreasing by 3 each time. To find the next number in the sequence, we subtract 3 from the last number. So, for this numerical sequence: 5, 2, -1, -4, the next three terms would be -7, -10, and -13. Therefore, the correct answer is option a which states: Subtract 3; -7, -10, -13.
Let's explain this in steps:
- We begin with 5.
- Subtract 3 from 5, we get 2.
- Subtract 3 from 2, we get -1.
- Subtract 3 from -1, we get -4.
- Continuing this pattern, subtract 3 from -4, we get -7 (first next term).
- Subtract 3 from -7, we get -10 (second next term).
- Subtract 3 from -10, we get -13 (third next term).
Learn more about Numerical sequence here:
#SPJ2
Related Questions
The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?
What is 22 over 2 as a whole number
If f(x) = 2x3 – 2, what is the value of f(2)?
A bottle of water contains 450ml. How many litres of water are there in 8 of these bottles
T
(9x – 19)°
U
111°
((7x + 3)
X
(5x + 8)
128°
W
Answers
Answer:
103
Step-by-step explanation:
6 sides
(6-2)180 =720
720 = S×T+U+V+W+X
S=90
720 = 90 + (9X-19) + (111) + (5X+8) + (128) + (7X+3)
COMBINE LIKE TERMS
720= (90-19+111+8+128+3) + (9X+5X+7X)
720 = 321 + 21X
720-321 = 321-321 + 21X
399 = 21X
19 = X
mV = 5X + 8
mV = 5(19) + 8
mV = 95 + 8
mV = 103
6(10x^2 + 8x + 2)
12(5x^2 + 4x + 2)
6x(10x^2 + 8x + 2)
12x(5x^2 + 4x + 2)
Answers
For this case we have the following polynomial:
What we must do for this case is to factor the polynomial, so that we have:
1) The number of bottles
2) the weight of each bottle.
We have then:
Answer:
A factorization that could represent the number of water bottles and weight of each water bottle is:
60x^2=2*2*3*5*x*x
48x=2*2*2*2*3*x
24=2*2*2*3
find the common group
common gropu is 2*2*3=12
front number shold be 2
the only one is the second option
anwer is second option
10 cm
80 cm
120 cm
Answers
V = lwh Volume of a rectangular prism
100 = 20h Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h Divide both sides by 20
The height of the rectangular prism is 5 cm.
Hope this helps!
Answer:
5 CM
Step-by-step explanation:
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
tan(Y) =
Answers
Answer:
tan∠Y = 2,14
Step-by-step explanation:
First , we need to determine XY
in order to do that we use the Pythagorean theorem :
XY = √(85^2-77^2) = 36
tan∠Y = 77/36 = 77÷36 = 2,138888888889
Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠Y as the reference angle,
XY represents the adjacent side of the right angle triangle.
WX represents the opposite side of the right angle triangle.
To determine XY, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
85² = 77² + XY²
XY² = 85² - 77² = 7225 - 5929
XY = √1296 = 36
To determine tan Y, we would apply trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan Y = 77/36
Tan Y = 2.14
Answers
Answer:
-6
and there you have it plain and simple
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Thus x- intercepts are at (- 2, 0 ) and (2, 0 )
To find the y- intercept (f(x)) let x = 0, thus
f(0) = 3 × 0² - 12 = 0 - 12 = - 12
Thus y- intercept at (0, - 12 )
Answers
The number which is 27 percent of the number 52 is 14.04.
To find the number that is 27% of 52, we use the concept of finding a percentage of a number,
To calculate 27% of 52, we convert 27% to decimal form by dividing 27 by 100, resulting in 0.27,
Next, we multiply 0.27 by 52;
⇒ 0.27 × 52 = 14.04,
Therefore, 27% of 52 is approximately 14.04. This means that 14.04 represents 27% of the total value of 52. By converting the percentage to decimal form and multiplying it by the number, we find the value of a given percentage of a quantity.
Learn more about Percent here
#SPJ6