The following sequence has first five terms as: -20, -17, -14, -11, -8, .......... Find an expression for the nth term of the sequence

Answers

Answer 1

Answer:

a(n) = -20 + 3(n - 1)

Step-by-step explanation:

a(n) = -20 + 3(n - 1)


Related Questions

Is how far from work do all the employees live a statistical question

Answers

Answer:

need more info sry

Step-by-step explanation:

Help me I have more pls

Answers

Answer:

y= 2/3x +4

Step-by-step explanation:

choose 2 points to find slope

I chose points of intersection

(-6,0) (0,4)

m=y2-y1/x2-x1

[tex]m = \frac{4 - 0}{0 - ( - 6)} = \frac{2}{3} [/tex]

then use slope point form rule

y-y1=m(x-x1)

[tex]y - 4 = \frac{2}{3} (x - 0) \\ \\ y = \frac{2}{3} x + 4[/tex]

Answer:

y = [tex]\frac{2}{3}[/tex] x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-6)}[/tex] = [tex]\frac{4}{0+6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{2}{3}[/tex] x + 4 ← equation of line

2x-3 5x+6= Multiply and combine like terms

Answers

Answer:

10x^2 - 3x -18

Step-by-step explanation:

if you meant (2x-3)(5x+6), you just multiply out

Answer:

Step-by-step explanation:

Use FOIL method

(2x - 3)(5x + 6) = 2x*5x + 2x*6 + (-3)*5x  + (-3) *6

                        = 10x² + 12x - 15x  - 18 {Combine like terms}

                        = 10x² - 3x - 18

Like terms are terms that have same variable with same power.

A car dealership has seven cars in the lot unfortunately the keys to the cars of been mixed up the manager randomly grab the key and tries to start a car salesman also randomly picks a different key and tries to start another car what is the probability that both cars start

Answers

To determine The probability of both of these occurring, you would multiply the probability of each together. So, there is a 1/7 chance of the first salesman getting the right key, and 1/6 chance of the second salesman getting the right key. 1/7 x 1/6= 1/42 chance of both occurring.

Without multiplying, determine the sign of the product (−247,634) × (183,758).

Answers

the sign will be a negative sign -

Answer:

IN a series of multiplications (or divisions)

add up the negative signs ... if they are even the answer is positive "+"

the there is an odd number the answer will be negative "-"

Step-by-step explanation:

What is the ratio of people who prefer pistachio to the people who prefer vanilla?
- 3/2
- 2/3
- 4/5
- 5/4

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

people who like pistachio = 24

people who like vanilla = 36

ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36

=2/3

I’m doing algebra homework and I’m really stumped on this problem I could use the help

Answers

Step-by-step explanation:

Zeros : -2

axis of symmetry : x = -2

Max or Min : min

Vertex : (-2, 0)

In a bowl of fruit, there are green grapes and black grapes in the ratio 3:4 If there are 24 green grapes, how many black grapes are there?
answer is 32
ask me more questions any time

Answers

The answer would be 32 because the ratio sets a big difference with the grapes and black grapes but the answer is 32

Find the surface area.
_____ square inches​

Answers

Answer:

the surface area of cylinder is 1733.28 inches²

hope it helps

have a nice day

Help with this ASAP please

Answers

Answer:

86

Step-by-step explanation:

43×2=86

bisector means halves an angle into two equal angles

how to prove sinA+sin2A/1+cosA+cos2A=tanA​

Answers

Answer:

my answer is in this picture. sorry about my handwriting.

Hope you will understand : )

What is the following quotient?
V6+ V11
√5 + √3

Answers

Answer:

The second one, my order is different, but they are equivalent answers

Step-by-step explanation:    6  22  22  18

  (√6 + √11)  / (√5 +√3)      multiple top and by  (√5 - √3)   note the minus

  (√6 + √11) × (√5 - √3)  / (√5 +√3) x (√5 - √3)

  (√30 + √55 - √18 - √33)  / (5 - 3)

 (√30 + √55 - 3√2 - √33) / 2

The volume of water remaining in a tank after 10 of its original volume (x) is drained out

Answers

Answer:

x - 10

Step-by-step explanation:

The original volume is x, and 10 is removed.

In mathematical terms, this is expressed as x - 10.

LM=24 MN=13 what is KM?​

Answers

Answer:

ans: KM = 576/13

Step-by-step explanation:

break given triangle to two triangle,

use pythagoras theorem to find LN

now, splited triangle are similar to each other so corresponding sides are proportional to each other

16. Solve y2 - 17x + 30 = 0 by factoring.​

Answers

Answer:

x = 15 , x = 2

Step-by-step explanation:

[tex]x^2 -17x + 30 =0\\\\x^2 -2x-15x +30=0\\\\x(x-2)-15x(x-2) =0\\\\(x-15)(x-2)=0\\\\[/tex]

x = 15 , x = 2

Fessvhrddvg 26fggggggioytrewe

Express 60g as a percentage of 3kg?

Answers

Answer:

SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWER

Select the correct answer from the drop-down menu. James is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below, where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot. h(x) = -0.05.12 + I +6 feet. It continues to increase until x= feet, and then In this situation, the height of the shot starts to increase when x = the height decreases until x= feet.​

Answers

Answer:

What I did not understand the question properly.Is it a original question

help me with these asap

Answers

Use the app that you can easily find answers on

what is the value n ?

Answers

Answer:

nutella

Step-by-step explanation:

Anita burger purchased 14 gallons of gas for $34.72. How much did she pay for each gallon

Answers

Step-by-step explanation:

14 gallons bought for $34.72

1 gallon bought for

[tex] \frac{34.72}{14} [/tex]

=$2.48

In the following function defined by an equation in the form y = ax + bx+c, identify the values of a, b, and c.
y = 5x2 + 2x-1
a. d=-1, b = 2,0 = 5
b. a = -2, b = 5,0 = 1
C. a = 1, b = 5,0 = 2
d. a = 5,6 = 2,0 = -1

Answers

Answer:

d

Step-by-step explanation:

just compare,

y = aX^2+bX+C and

y = 5X^2 + 2X - 1

The graph shows the value of a certain model of car compared with its age.
Which statement is false?
Car's value ($)
Car's ago (years)
A. The correlation coefficient is close to -1,
B. The car's value is the explanatory variable.
O O Od
C. The car's age is strongly correlated to its value.
D. The data show a negative linear relationship.

Answers

Answer:

B. The car's age is the explanatory variable

Step-by-step explanation:

The graph shows a negative linear relationship between car's age and car's value because, as as one variable increases, the other decreases.

Also, data points are close to each other along the line of best fits, therefore, the correlation coefficient would be close to -1, showing a strong negative relationship.

An explanation variable is one that isn't affected or dependent on another variable. In this case, the car's age is the explanatory variable and not the car's value. The car's value is dependent on the car's age, therefore, the car's age is the explanatory variable.

The statement in option B is FALSE.

SOMEONE PLS HELP ME!!!

Answers

The axis of symmetry is a line that splits a graph into two mirror images. For a parabola, the axis of symmetry goes through the vertex and is a vertical line.

The axis of symmetry for this graph is x = -1.

Hope this helps!! :)

Name a geometric figure that could be the height of a tree

Answers

Answer:

Triangle

Step-by-step explanation:

h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.

Basically you want to solve for the hypotenuse by using basic trig

2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?

Answers

1/3 of the class are boys
a) 2:3
b) 1:3
2/3 of the class are girls, so 2:3. That leaves 1/3 of the class as boys, so 1:3 ratio.

In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, what is the measurement of PQ?

Answers

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = [tex]\frac{1}{2}[/tex] PQ , so

5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46





Help






Will





Give






Brainlist







:)))

Answers

180-126= 54 , I might be wrong but tried my best
i think the ans is 54

9
Find the area of the triangle.
Please help

Answers

Answer:

[tex]6ft^2[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:  [tex]A=\frac{1}{2} bh[/tex]

The base is 4 because 2 + 2 = 4

[tex]A=\frac{1}{2}( 4)(3)[/tex]

[tex]A=\frac{1}{2} (12)[/tex]

[tex]A=6[/tex]

Hope this helps

Answer:

A) The first one for whole triangle = 6ft^2

or

B) The second one for blue  = 3ft^2

Step-by-step explanation:

T1 Area = 1/2 x 3 x 4 = 6ft^2

T2 Area = 1/2 x 3 x 2 = 3ft^2

T3 Blue Area = 6-3 = 3ft^2

the sum of three consecutive even intergers is 30. what are the intergers?

Answers

Answer:

8, 10, 12

Step-by-step explanation:

3 consecutive even integers are 8, 10, 12

8 + 10 + 12 = 30.

Answer:

8, 10 ,12

Step-by-step explanation:

Let x be the first integer

x+2 is the second

x+4 is the third

The sum is 30

x+ x+2 + x+4 = 30

Combine like terms

3x+6 = 30

Subtract 6 from each side

3x+6 -6 =30-6

3x = 24

Divide by 6

3x/6 = 24/6

x = 8

x, x+2, x+4  is 8, 8+2, 8+4,

8, 10 ,12

Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March

On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.

Answers

Answer:

$625.6

Step-by-step explanation:

Information about the holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = 15 February

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

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