10, 18, 26, 34, 42, ...

What is the 15th term of this Arithmetic Sequence

Answers

Answer 1

Answer:

a₁₅ = 122

Step-by-step explanation:

Arithmetic sequence formula:

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

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.

For your given sequence:

[tex]10, 18, 26,34,42,...[/tex]

a₁ is 10

n is 15 (15th term)

d is 8 (each term increases by 8 over the last)

Plug those 3 variables in, and solve for a₁₅:

[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]


Related Questions

WHAT IS THE VALUE OF 4^3

4 AND A SMALL THREE IN THE RIGHT CORNER
THE AWNSER CHOICE



12




16






43







64







IF AWNSER NOT KNOW COMMENT BELOW IG.,...

Answers

the answer i got is 64

Answer:

The answer is 64

Step-by-step explanation:

When you are dealing with exponents you have to multiply the main number as many times as the exponent number. [tex]4^{3}[/tex]

In this case, you multiply 4 three times

[tex]4*4 = 16\\16*4=64[/tex]

Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5 per gigabyte. She wants to keep her bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Rajani can use while staying within her budget. need help with this

Answers

Answer: $85 [tex]\leq[/tex] $65 + ($5)*gg

Step-by-step explanation:

$85 [tex]\leq[/tex] $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be [tex]\leq[/tex] $85/month, thus we get:

$85 [tex]\leq[/tex] $65 + ($5)*gg

Is 10x-4 proportional

Answers

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

is the negative square root 400 rational or irrational

Answers

Answer:

Step-by-step explanation:

Rational

Answer:

Rational

Step-by-step explanation:

20 x 20 is 400 so 20 is a rational number

The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?

Answers

Answer:

Khaled made 16 baskets.

Step-by-step explanation:

3 12

-- = ---

4 x

12 / 3 = 4

4 x 4 = 16

x = 16

what is the correct way to label the entire line segment shown​

Answers

Answer:Yea looks like you have it already C

Step-by-step explanation:

The local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month. Last year, Paxton paid $105.75. How many months was Paxton a member of the pool?​

Answers

Solving a linear equation we can see that Paxton was a member for 5 months.

How many months was Paxton a member of the pool?​

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

Evaluate the question
Pls help:)

Answers

Answer:

18

Step-by-step exp18lanation:

1) Simplify 2 - 4 to -2.

3 - 5 × -2 ÷ 2 × 3

2) Simplify 5 × -2 to -10.

3 - (-10 ÷ 2 × 3)

3) Simplify -10 ÷ 2 to -5.

3 - (-5 × 3)

4) Simplify -5 × 3 to -15.

3 - (-15)

5) Remove parentheses.

3 =+15

6) Simplify.

18

Answer:

24

simple explanation:

{3+[-5(2-4)÷2}×3

{3+[-5(-2)÷2}×3

{3+[-10]÷2)×3

3+5×3

8×3

=24

4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.

Answers

Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step

Answers

if 1 yard = 3ft
2.5 yards = 7.5ft
12inch x 7.5 = 90
ANSWER: 90 inches

Need help on this! Plz help

Answers

Answer:

54 degrees

Step-by-step explanation:

First, I need to find the value of t.

So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.

(8t + 6) + (3t + 18) = 90

Now, just solve for t.

11t + 24 = 90

11t = 66

t = 6

Finally, substitute 6 in for t.

8(6) + 6

48 + 6

54

Kyle had some money.
He spent £12 on a ticket to a football match.
He spent £9.90 on a scarf.
Kyle has two-fifths of his money left.
Work out how much money Kyle had to start with.

Answers

£36.50 is the answer
pls make me brainliest i need one more to move up :)
it means he spent three-fifths
12 + 9.90 = 21.90
21.90 = three-fifths
one-fifth = 21.90 : 3 = 7.3
7.3 x 5 = 36.5

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 80 meters × 60 meters. How much shorter is the route across the park than the route around its edges?

Answers

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter

I need to know which matches which thank you

Answers

Answer:

number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12

Step-by-step explanation:

find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.

Line A has a slope of -
and passes through the point
Line B has a slope of 3 and passes through the point (-32, -2)
Find the point where line A intersects line B.

Answers

Answer:

Graphing

Step-by-step explanation:

Refer to the image below!

help Which relation is a function?

Answers

Answer:

The answer is B

Step-by-step explanation:

an input value must only paired to one output value

Please help and no links :)

Answers

Answer:

sorry I don't know the answer

Help!!! I will give brainliest if correct!!!
Ken Has k video games, and Jeff has j video games. If Ken gives 6 video games to Jeff, Ken will have twice as many video games as Jeff. Which equation shows the relationship between k and j?
A: k-6 = 2(j + 6)
B: k - 6 = 2j + 6
C: 2(k - 6) = J
D:2(K - 6) = J + 6

Answers

Answer:

D

Step-by-step explanation:

2(k-6)=J+6

can anyone tell me if this is right

Answers

Answer:

yes it is correct

Step-by-step explanation:

that is correct indeed

Write an explicit formula for the recursive formula

A(n) = A(n - 1) + 3; A(1) = 6

Answers

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

PLEASE HELP!

Your class hopes to collect at least 325 of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
Part 1: Write an equation that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
Part 2: How many cans are needed to meet or surpass the goal?

Answers

Answer:

Part 1. 325 - (135 + 89) = c

Part 2. ≤ 101

Step-by-step explanation:

Brainliest Please!

SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT IM SO CONFUSED!!!! ):

Answers

Answer:

you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:

Please help me pretty please​

Answers

Answer:

805, 835, 865, 885

Step-by-step explanation:

divided into 20 parts

900-800=100

100/20=5

each part is 5

first one is 1 part away from 800

800+5=805

second one is 7 away from 800

800+7*5=835

third one is 7 away from 900

900-7*5=865

fourth one is 3 away from 900

900-3*5=885

Answer:

Solution :

Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,

= 900 - 800

= 100

Finding the value of 1 vertical line.

➝ 1 line = 100

➝ 1 line = 100/20

1 line = 5

Hence, 1 line = 5

Finding part 1 :

➝ 800 + (1 × 5)

➝ 800 + 5

805

Finding part 7 :

➝ 800 + (7 × 5)

➝ 800 + 35

835

Finding part 13 :

➝ 800 + (13 × 5)

➝ 800 + 65

865

Finding part 17 :

➝ 800 + (17 × 5)

➝ 800 + 85

885

Hence, the answer is 805, 835, 865, 885.

2x⁴-6x²+3 divided by 2x-6​

Answers

Step-by-step explanation:

answer is 552€₹%+×::!^*I HOPE ITS CORRESCT

PLEASE HELP 60 PTS

Graph the piecewise function.

Answers

Answer:-2x < 10.

Step-by-step explanation:

HELP ME PLEASE
A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.

Which relation is a function? (2 points)

(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)

Answers

Answer:

(serial number, model number)Step-by-step explanation:

Sprinters who run 100 yards now often run 100 meters.


How many meters longer to the nearest tenth is 100 meters than 100 yards?


Enter the correct answer in the box.

Answers

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

Please help me. I’m so confused

Answers

Answer:

probably 2.............

4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Answers

Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.

The ratio of the number of T-shirts in size M to the number of T-shirts in

size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Step-by-step explanation:

This table shows the input and output values for a linear function f(x).

What is the difference of outputs for any two inputs that are one value apart?

A. -5
B. 1
C. 21.2
D. 27.2

Answers

Answer:

C

Step-by-step explanation:

The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.

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