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
Nadusha1986 [10]
3 years ago
10

Find the first term and common difference of an AP, whose 7th term is 29/6 and 15th term is 11/2.​

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

The first term is 13/3 and the common difference is d = 1/12

The formula is a(n) = 13/3 + (1/12)(n - 1)        

Step-by-step explanation:

The general equation for an arithmetic progression is:

a(n) = a(1) + d(n - 1), where d is the common difference/

Case 1:  n = 7:  29/6 = a(1) + d(7 - 1), or 29/6 = a(1) + d(6)

Case 2:  n = 15:  11/2 = a(1) + d(15 - 1) =  a(1) + d(14)

Then our system of linear equations is:

a(1) + 6d = 29/6

a(1) + 14d = 11/2

Let's solve this by elimination by addition and subtraction.  Subtract the first equation from the second.  We get:

                                                             

Substituting 1/12 for d in the first equation, we get:

a(1) + 14(1/12) = 11/2 or 66/12 (using the LCD 12)

Then a(1) = 66/12 - 14/12 = 52/12 = 13/3

The first term is 13/3 and the common difference is d = 1/12

The arithmetic sequence formula for this problem is thus:

a(n) = 13/3 + (1/12)(n - 1)                                                                          8

You might be interested in
Pls someone help me with this question pls
ycow [4]

Answer:

9/11

Step-by-step explanation:

9/11

5 0
3 years ago
PLEASE HELP!!! GIVING BRAINLIEST
Anvisha [2.4K]

Answer:Column one answers:

1: 490

2:396

3.18

4.10

Column 2:

1. 490

2.396

3.18

4.100

Column 3:

1.490

2.396

3.18

4.100

Hope this helps if you need more then just ask

7 0
3 years ago
Nathan's lawn mower uses 23 of a tank of gas to cut three one-acre lawns. How many one-acre lawns can he cut with a full tank of
Angelina_Jolie [31]
60 Gallons To FInish The Whole Entire Yard I think double check to make sure
6 0
3 years ago
Calculate f(x) for the given domain values.
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

1. The given function is

f(x) =  - 3x

The domain values are: x=0, 2, -1, 4, -2

When x=0

f(0) =  - 3 \times 0 = 0

When x=2,

f(x) =  - 3 \times 2 =  - 6

When x=-1

f(x) =  - 3 \times  - 1  = 3

When x=4

f(4) =  - 3 \times 4 =  - 12

When x=-2

f( - 2) =  - 3 \times  - 2 = 6

2. The given function is

f(x) =  \frac{1}{3} x

When x=3,

f(3) =  \frac{1}{3}  \times 3 = 1

Similarly,

f( - 3) =  \frac{1}{3}  \times  - 3 =  - 1

f(300) =  \frac{1}{3}  \times 300 = 100

f( - 180) =  \frac{1}{3}  \times  - 180 =  - 60

f(99) =  \frac{1}{3}  \times 99 = 33

8 0
3 years ago
Help with my math READ IT CARFULLY
Irina-Kira [14]

Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28

Srec = 6 . 4 = 24

S= 6,28 + 24 = 30,28

the answer is 30,28

ok done. Thank to me :>

8 0
2 years ago
Other questions:
  • Solve the following system of equations. Show your work<br> -3-3y=12x , -5-y=2x
    8·1 answer
  • What is 6.4X10 to the 8th power meters per second, in kilometers per hour???
    12·1 answer
  • to serve 1 person at a local restaurant it takes 10 minutes to serve pie people it takes 18 minutes write and solve an equation
    9·1 answer
  • How do i graph the following function?<br> Y=-5
    13·1 answer
  • Simplify 12/5 (10/3b + 15/4). Also the slash means "out of blank"
    15·1 answer
  • What is the least common multiple of 16, 6, and 12?
    15·2 answers
  • the data set represents the total number of tickets each person purchased for a play. 0,0,1,1,1,2,2,2,4 4, what is the median of
    15·1 answer
  • Please Solve this question. whoever answers my question gets 10 points with heart and brainlist (if there's two answers) Thank y
    5·2 answers
  • On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson d
    12·1 answer
  • Helpp i’ll give 20 points !!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!