1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
k0ka [10]
3 years ago
12

The sixth term is 22 and the common difference is 6. What is the fifteenth term?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
4 0
T_n = a_1+ d(n-1)

Given that d = 6 and 6th term is 22,
22 = a_1+ 6(6-1)
22 = a_1+ 30
a_1 = 22- 30
a_1 = -8

So the general equation is 
T_n = -8 + 6(n-1)
T_n = -8 + 6n-6
T_n =6n-14

When n = 15,
T_{15} = 6(15)-14
T_{15} = 136

Answer: 136




You might be interested in
Give an example each of a simple machine and a mechanism.
Naily [24]

Answer:

A simple machine is the lever, wheel, pulley, inclined plane, wedge and the screw.

And a mechanism is steering mechanism in cars or the winding mechanism of a watch.

Step-by-step explanation:

7 0
3 years ago
Solve for n. -3n - 4 > 26
nasty-shy [4]

Answer:

n < -10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
on a certain map, 3/4 inch represents a distance of 150 miles. what distance d, in terms of x, is represented by x inches on the
exis [7]

Answer:

x=80

Step-by-step explanation:

5 0
3 years ago
The chicken increased by $0.98, from $6.50 to $7.48. What is the percent change in the cost of this meal? Show your proportion a
ryzh [129]

Answer:

ok so i think your gonna haveto use addition tell me if im wrong

Step-by-step explanation:you have a blessed thanksgiveing

5 0
2 years ago
Read 2 more answers
A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t
Licemer1 [7]
If A(t) is the amount of salt in the tank at time t, then the rate at which this amount changes over time is given by the ODE

A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}

A'(t)+\dfrac1{100}A(t)=15

We're told that the tank initially starts with no salt in the water, so A(0)=0.

Multiply both sides by an integrating factor, e^{t/100}:

e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}
\left(e^{t/100}A(t)\right)'=15e^{t/100}
e^{t/100}A(t)=1500e^{t/100}+C
A(t)=1500+Ce^{-t/100}

Since A(0)=0, we have

0=1500+C\implies C=-1500

so that the amount of salt in the tank over time is given by

A(t)=1500(1-e^{-t/100})

After 10 minutes, the amount of salt in the tank is

A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}
8 0
3 years ago
Other questions:
  • Jennifer is a car saleswoman. She is paid a salary of $2000 per month plus $500 for each car that she sells. Her salary can be m
    6·1 answer
  • What is the equation of the line that is parallel to the y–axis and passes through the point (3, 7)?
    9·2 answers
  • an someone please help me: A football field measures 300 feet in length. It can also be expressed as approximately 5.7 times 10
    6·2 answers
  • Use the table to find the constant of proportionality and the equation that represents the relationship. Let x = number of apple
    8·2 answers
  • If Joy has 67 cupcakes and Lizzy has 89 cupcakes what is the ratio of the two numbers?
    7·1 answer
  • Hello! Please help! It would mean a lot! &lt;3
    7·2 answers
  • How many solutions are there for the system of equations shown on the graph?
    11·2 answers
  • I'm finally an ace!
    13·2 answers
  • Find the distance between (3, −7)<br> and (4, 1). Write your answer using a radical sign.
    12·2 answers
  • 1. The difference between the product of nine and a number and three times the number.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!