Find the 7th term of the arithmetic sequence given a12=29 and
a16=53
ara

Answers

Answer 1

Answer:

a7=-1

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences can be identified because each term n is obtained by adding or subtracting a fixed number to the previous term n-1.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

We know: a12=29, a16=53, now we use the above equation for n=12 and n=16:

[tex]a_1+(12-1)r=29[/tex]

[tex]a_1+(16-1)r=53[/tex]

Simplifying both equations:

[tex]a_1+11r=29[/tex]

[tex]a_1+15r=53[/tex]

Subtracting:

[tex]4r=53-29=24[/tex]

Solving:

r=24/4

r=6

The 7th term can be found as 9 terms before the 16th:

[tex]a_7=a_{16}-9r[/tex]

[tex]a_7=53-9*6=53-54=-1[/tex]

Thus: a7=-1


Related Questions

What is 8 divided by 3526​

Answers

Answer:

The answer is 4/1763 in fraction

In decimal, the answer is 0.001 rounded to thousandths.

Step-by-step explanation:

If you want to divide this, you will have to make this expression to a fraction

to 8/3526. Divide the highest numerator if the fraction can simplify. It looks like 3526 can only be simplified by being divided by 2. Divide 2 to each side of the fraction. You should get 2/1763 as a fraction.

can someone please help me

Answers

Answer:

x=12 the other answer is 144.

Step-by-step explanation:

You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144

DO NOT ANSWER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS!!!
The cost of cherries is $8 per pound. Given that context how should we change the graph?

Answers

Answer:

x represents a pound of cherries, and y represents the cost. you need to change 20 to 24. And add 0:0 1:8 2:16 and 3:24

Step-by-step explanation:

which of the four statements are false?

Answers

Answer:

D. all atoms are the same

Even though two atoms are chemically identical and might even chemically react in the same way, they are not completely the same to each other

Stacy drew a scale drawing of on park on a map. The scale is 1 inch : 10 yards. If the drawing of the park is 6 inches. How wide is the actual park?



PLZ HELPPPPPPPPP

Answers

Answer:

About 25 yards.

Step-by-step explanation:

Length of actual park is 60 yards

Given that;

Scale factor = 1 inch : 10 yards

Length of drawing = 6 inches

Find:

Length of actual park

Computation:

Length of actual park = Scale factor × Length of drawing

Length of actual park = 10 × 6

Length of actual park = 60 yards

Learn more:

https://brainly.com/question/21304198?referrer=searchResults

Write b-^4 where the exponent is positive

Answers

Answer:

1/b^4

Step-by-step explanation:

When you take the reciprocal of a number or variable, the sign of the exponent changes from positive to negative or negative to positive.

You currently have b^-4/1 flip it and change the sign to get 1/b^4

Plz help i only need c im confused lol 6th grade history

Answers

Answer: Upper: Kings, priests, warriors, and government officials.

Middle: artisans, merchants, farmers, and fishers

Lowest: enslaved people, who worked on farms.

Step-by-step explanation:

C. prisoners of farmers, and rich people/they were maids and cleaned up everything.

what is equivalent to
22c+33d

Answers

Answer:

11 (2c+3d)

Step-by-step explanation:

Answer:

11 x(2c + 3d)

Step-by-step explanation:

Could you please add answer choices next time?

Solve x2 − 8x + 15 < 0. The solution set for the quadratic inequality is:

Answers

Answer:

3<x<5

Step-by-step explanation:

[tex]x^2 - 8x + 15 < 0\\\\\mathrm{Factor}\:x^2-8x+15:\quad \left(x-3\right)\left(x-5\right)\\\left(x-3\right)\left(x-5\right)<0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\left(x-3\right)\left(x-5\right)\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:<\:0\\\\3<x<5[/tex]

Write an equation of the line in y intercept form that passes through the point (0, 0) and is perpendicular to line y=-9x-1

Answers

Answer:

Step-by-step explanation:

perp. 1/9

y - 0 = 1/9(x - 0)

y = 1/9x

How much is 3 nines?

Answers

Answer:

to the third power ?

Step-by-step explanation:

Answer:

The answer is 27!

Step-by-step explanation:

9 plus 9 equals 18 plus 9 equals 27!

Riley earned $5 for
1
2
of an hour babysitting. What is her hourly rate?

Answers

Answer:

10 dollars each hour

Step-by-step explanation:

Hello.

If Riley earned $5 for half (1/2) an houe of babysitting, then for a full hour, she would make $10.

Her hourly rate is $10.

Between which two whole numbers number is the square root of 51

Answers

Answer:

Between 7 and 8

Answer:

7  < √ 51 <  8

√51 lies between 7 and 8

Find the unit price. 7 moive tickets for $56

Answers

Answer:

8

Step-by-step explanation:

56/7

Answer:

$8

Step-by-step explanation:

56 divided by 7 is 8, making the unit price 8 dollars per ticket

Please help I will mark brainliest

Solve the equation. x - 4 = -5x - 28 x =

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/4-(28/1)=0

Step by step solution :

STEP

1

:

28

Simplify ——

1

Equation at the end of step

1

:

x

— - 28 = 0

4

STEP

2

:

x

Simplify —

4

Equation at the end of step

2

:

x

— - 28 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

28 28 • 4

28 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (28 • 4) x - 112

———————————— = ———————

4 4

Equation at the end of step

3

:

x - 112

——————— = 0

4

STEP

4

:

When a fraction equals zero

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-112

————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-112 = 0

Solving a Single Variable Equation:

4.2 Solve : x-112 = 0

Add 112 to both sides of the equation :

x = 112

One solution was found :

x = 112

Step-by-step explanation:

make me as brain liest

Write the equation of the line that passes through the following two points (2, 7) and (0, 1)

Answers

Answer:

F(X)= 3x + 1

Step-by-step explanation:

-10 - 2x < 6 and 6x + 12 < -6

Answers

Answer:

Step-by-step explanation

What the question about solve or what?

PLEASE ! Find the slope of the line graphed.

Answers

It’s 2
Because (0,-2) (-4,0) a negative divides by a negative is a positive

Answer:

slope = -1/2

Step-by-step explanation:

From the graph, pick two points:

[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)

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

so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2

what is elasticity?​

Answers

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed; stretchiness.

Step-by-step explanation:

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed


need help!!

solve the solution of the
inequality:
x - (5 – 3x) < 2x – 1

Answers

Answer:

x < 2

Step-by-step explanation:

what property is 4x + 8 = 28

Answers

Answer:

x=5

Step-by-step explanation:

4x + 8 = 28,

it's rather straight forward,

you would subtract 8 from the left side,

doing the same on the right.

now you have

4x = 20

x= 20/4

x=5

hope this helps.

The change in y over the change in x is the same as???

Answers

Rise over run...........
☝ over ‍♀️ ( rise over run )

What is the mean? 20,22,25,28,29,30,32,33,34 ( Show work )

Answers

Answer:

28 or 28.11111 because I don't know if it asked you to round or not.

Step-by-step explanation:

Mean is the average of a group of number added together and divided by the number of number there are.

20+22+25+28+29+30+32+33+34 = 253

Now we will divide by the number of numbers we have there are 9 numbers.

Soooo.

253/9= 28.1111111

(Round)

28

Answer:

28 1/9 or 28.1111... (0.1 repeating)

Step-by-step explanation:

20 + 22 = 42

42 + 25 =  67

67 + 28 = 95

95 + 29 = 124

124 + 30 = 154

154 + 32 = 186

186 + 33 = 219

219 + 34 = 253

253 / 9 = 28 1/9 or 28.11111...

Hope this helped!

What were the Pairs (1, 1), (2, 8), (3, 27), (4, 64) and (5, 125) a present a function what is the rule that represents this function

Answers

Answer:

the rule is y=x^3

Step-by-step explanation:

2 times 4=8

3 times 8 is not 27

1 times 1=1

2 times 4=8

3 times 9=27

1 times 1^2=1

2 times 2^2=8

3 times 3^2=27

x times x^2=x^3

I hope this helps you! :)

-KeairaDickson

In the year 2013 the population of Californiawas about 38,332,521 people. Write the
estimated population as a single digit times a
power of 10.

Answers

Use scientific notation a 3.83 x 10^7

Someone help it’s due soon.

Rewrite the equation in Ax+By = C form.
Use integers for A, B, and C.
y+3 = 5(x+5)

Answers

y+3 = 5(x+5)

y+3 = 5x+25 ... distribute

y = 5x+25-3 ... subtract 3 from both sides

y = 5x+22

y-5x = 22 ... subtract 5x from both sides

-5x+y = 22 .... is one possible answer

5x-y = -22 ... is another possible answer

The difference is that I multiplied both sides by -1 so that the A term becomes positive.

I’m so confused does anyone know the answer

Answers

Answer:

1.5(2x5)

Step-by-step explanation:

just swap the things in the parenthases

could u vote me brainliest plz? thx :)

Yes I think it (5X45)

Please help me i need help with this please give me the answer

Answers

Part A:

$8.00+(r⋅$1.40)

Part B:

($26.00-($8.00)÷$1.40)=5

He can go on 5 rides.

Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length of fending Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing
v

Answers

Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden =

=

Length = 18.5 feet

Total width of the garden =

=

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.

Answer:

4 1/2 +1 1/2= 5 1/2

Step-by-step explanation

What is the first step in solving the equation b=r + 27 for r? A Add 21 to both sides. B Subtract 271 from both sides. C Multiply both sides by 2n. D Divide both sides by 27.​

Answers

Answer:

B. Subtract 2π from both sides.

Step-by-step explanation:

In order to solve for r, you are gonna want to isolate it. To do so, you first have to subtract 2π from both sides.

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