Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.

Answers

Answer 1

General Arithmetic Terms

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

We want to find a8; we know:

a1 = 9d = 4

Substitute in the formula.

[tex] \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}[/tex]

To find a8, substitute n = 8

[tex] \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}[/tex]

Hence, the 8th term of sequence is 37


Related Questions

Find the slope of the line through each pair of points.
(2,-9),(-1,4)

Answers

(2,9)(-1,4)

[tex]\\ \rm\hookrightarrow Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{4-9}{-1-2}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-5}{-3}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{5}{3}[/tex]

Answer:

-13/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

4-(-9)/-1-2

13/-3

-13/3

Best of Luck!

Rachael made 4 pounds of potato salad. How many ounces of potato salad did Rachael make?

Answers

Answer:

i think the answer is 64 ounces

Wh ich of the following tables represent functions? If the relation is not a function, indicate why it is not.

Answers

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

what does the answer on her sceen mean?

Answers

Answer:

Ahhh!! am not seeing the answer on the sceen.

Please help! I don’t know the answer to this.

Answers

Answer:

as we can see b and are reflections as ther are same

On her way to work each morning Sophia
purchases a small cup of coffee for $425
from the coffee shop

Answers

Answer:

This is easy...stop purchasing this outrageous coffee for $425. No coffee is that good

round decimal to the nearest whole number.
12.1

Answers

Answer:

12

Step-by-step explanation:

12.1 to the nearest whole number is 12.

Answer:

12

Step-by-step explanation:

12.1 there is no number behind the one, therefore it becomes 12

determine the equation of the vertical line that passes through (3, 15)​

Answers

Answer:

x = 3

Step-by-step explanation:

The given straight line is vertical therefore it's slope doesn't exists.

Equation of the line with undefined slope is given by, x = c where c is the point of x axis from which the given line passes.

Therefore x = 3 is the correct answer.

How many area codes (ABC) would be possible if all three digits could be any value 3-9

Answers

Answer:

Step-by-step explanation:

Please help due tomorrow

Answers

Answer:

just observe its like corresponding soo..

CAB = DEF

ABC = EFD

ACB = EDF

EMJOY ;)

If -30 + 8r = -7(-3r - 3) + 4r,
the value of 5r?

Answers

Answer:

Gggggg

Step-by-step explanation:

Bh H hjjhбичар сук в оригинале xdddd

Answer:

[tex] - 30 + 8r = - 7( - 3r - 3) + 4r \\ - 30 + 8r = 21r + 21 + 4r \\ - 30 - 21 = 25r - 8r \\ - 51= 17r \\ r = \frac{ - 51}{17} \\r = 3 \\ thank \: you[/tex]

Ali has 126 marbles. He has 3 times as many marbles as ravi. Janice has 20 marbles more than ravi.
a) How many marbles does janice have?
b) How many marbles do they have altogether?

Answers

Answer:

a) 62

Step-by-step explanation:

126=(Ali)

126÷3=42(ravi)

42+20=62(janice)

b) 126+42+62= 230marbles

i need help please and thank you

Answers

Answer:

the length of each shape will alternate between even numbers and is numbers.

Step-by-step explanation:

just think !

there are 3 cubes in the basic shape.

now, with every step he adds 1 more cube to the length, and one more cube to the height. that means 2 more cubes.

so, it goes 3, 5, 7, 9, ... cubes

therefore, the first answer is wrong. the shape in every step will always have an uneven (odd) number of boxes. remember, adding an even number to an uneven number will always result in an uneven number. only uneven and uneven or even and even can have even results.

but the length itself - he only adds there one box at a time, will go

2, 3, 4, 5, 6, ...

so, it will alternate between even and uneven numbers.

Can you explain what a stem and leaf plot is?

Answers

Answer:

A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables. A stem and leaf plot is used to organize data as they are collected. ... Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit

hope it helped!

Will give brainly est
Find the difference. Enter your answer in simplest form.

3 1/3 minus 2 5/12 The First 3 and the first two are whole numbers btw


options

1 4/9 A

11/12 B

7/12 C

1 1/2 D

Answers

[tex]\\ \sf\longmapsto 3\dfrac{1}{3}-2\dfrac{5}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{10}{3}-\dfrac{29}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{40-29}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{12}[/tex]

The arithmetic sequence a; is defined by the formula: a1=4 +3(i-1)

Answers

Answer:

the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence. 1.

The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie

Answers

Answer:

[tex]\boxed {\boxed {\sf 254.34 \ yd^2}}[/tex]

Step-by-step explanation:

The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.

[tex]a= \pi r^2[/tex]

The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.

r= 9 yd π= 3.14

Substitute these values into the formula.

[tex]a= (3.14)(9 \ yd)^2[/tex]

Solve the exponent.

(9 yd)² = 9 yd * 9 yd = 81 yd²

[tex]a= (3.14)(81 \ yd^2)[/tex]

Multiply.

[tex]a= 254.34 \ yd^2[/tex]

The area of the center circle on the soccer field is 254.34 square yards.

If f(x) =2x - 3, find the following

1. f(-2)
2. f(7)
3. f(-4)

Answers

Answer:

1. f(-2) = -7

2.f(7) = 11

3. f(-4) = -11

Step-by-step explanation:

1. substitute x = -2 in f(x)

The function becomes :

f(-2) = 2×(-2) - 3 = -7

2. substitute x = 7 in f(x)

the function becomes:

f(7)= 2×7 - 3 = 11

if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage​

Answers

Hi,

To solve this problem, Let us take the LCM of 10 and 16 which will come 80.

Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n

According to the question, CP of 10 tables is equal to the SP of 16 tables, then

the SP of 16 tables will also be ₹ n.

So, SP of 80 tables will be ₹ 5n

So, Loss = CP-SP

→ 8n - 5n = ₹ 3n

Loss%= (3n×100)/8n

Loss%= 37.5%.

Hence the correct answer will be a loss of 37.5%.

Which of the following is equivalent to?

Answers

Answer:

[tex]5 \sqrt{ {13}^{3} } = {13}^{ \frac{3}{5} } [/tex]

Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9

Required:
What is the value y when x =12?

Answers

Answer:

Step-by-step explanation:

Please help its due today will give 15+ points and make brainlyiest

Answers

absolute value of -3

hope it helped

what percentage is 10 in 24? ​

Answers

Answer:

41.67

Step-by-step explanation:

10: 24×100 =

(10×100): 24 =

1000: 24 = 41.67

41.67 is the answer I’m not sure

Thx god bless stay safe

Answers

Answer and Step-by-step explanation:

The answer is qualitive because the phrase is describing outside to being cold.

#teamtrees #PAW (Plant And Water)

Answer: Qualitative

Please mark brainliest

2x-3y=-1
y=x-1

solve. systems of equations

Answers

Answer:

x=4

y=3​

Step-by-step explanation:

is 9.407 a rational number?

Answers

Answer:

Yes, sure!

Step-by-step explanation:

I said ''Yes, sure.'' Because We number 9.407 is a decimal number, and decimals are always rational numbers.

9.407= 9407/1000

Answer

yes

Step-by-step explanation:

all numbers that have decimal places and are fractions are rational

please mark me the Brainiest

The following image is a piece of tile from a kitchen floor. What does the bolded line represent?
A. a line
B. a line segment
C. a ray
D. a plane

Answers

Answer:

a line segment in the correct answer

b. a line segment is the correct answer

A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?

2x2
4x2
6x2
8x2

Answers

Answer:

B

Step-by-step explanation:

you can make picture into to shapes. a rectangle and a square. the square would be x2 and the rectangle would be 3x2. just add them together while your answer would be 4x2. doing this assignment right now so best of luck.

Answer:

b

Step-by-step explanation:

i just did the test

A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.

Answers

Answer:

8.5 feet and 7.5 feet.

Step-by-step explanation:

Hope this helps :)

JT has two jobs. He mows yards and washes cars in his neighborhood. Let X represent the amount of weekly
earnings for mowing yards, and let y represent the amount of weekly earnings for washing cars. The mean of X is
$60, and the mean of Y is $35. Which answer choice correctly calculates and interprets the mean of the sum, S= X
+ Y?
Ps = 47.5; next week, JT will earn $47.5.
Hs = 47.5; JT can expect to earn $47.5, on average, in a typical week.
Hs = 95; next week, JT will earn $95.
Ps = 95: JT can expect to earn $95, on average, in a typical week.

Answers

The answer is 95, because x=60 and y=35 then S=60+35=95

Answer is D) 95; JT can expect blah blahh

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