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
ohaa [14]
3 years ago
14

PLEASE HELP ILL MARK BRAINLIEST !!!

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

You might be interested in
The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?
matrenka [14]

Answer:

5

Step-by-step explanation:

total sum of the 6 numbers

= 4 ×6

= 24

sum of numbers without the two 2s

= 24 - 2(2)

= 20

average of other 4 numbers

= 20 ÷ 4

= 5

6 0
3 years ago
HELP HELP HELP HELP HELP HELL
vitfil [10]

Answer:

it sould be D because rise over run.

Step-by-step explanation:

at the point its 5/6 and the only answer with that fraction is D. or it depends because if you're looking for the begening of the dotted lines then it's C .but if you're looking for end point then it's D. if you don't know ask me and ill see what i can do

3 0
3 years ago
If the dimensions of a rectangle are A plus 3b and A minus 3b what is the area of the rectangle
tresset_1 [31]

area=legnth times width

we notice this is a special case

(a+b)(a-b)=a^2-b^2

area=(a+3b)(a-3b)=a^2-9b^2

area=a^2-9b^2

5 0
3 years ago
Use the graph below to fill in the blank with the correct number:
Alik [6]
Let
A(-3,0) \\ B(-2,2) \\ C(0,1) \\ D(1,-2)

we know that

Point A
A(-3,0) \\ for x=-3 \\ f(-3)=0

Point B
B(-2,2) \\ for x=-2 \\ f(-2)=2

Point C
C(0,1) \\ for x=0 \\ f(0)=1

Point D
D(1,-2) \\ for x=1 \\ f(1)=-2

therefore

the answer is
f(0)=1
4 0
3 years ago
Read 2 more answers
DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Zigmanuir [339]

Answer:

The last option

Step-by-step explanation:

You take the middle 2 numbers, add them up, and divide by 2.

6 0
2 years ago
Other questions:
  • Solve the triangle if a=3, b=4, and c=55 degrees
    7·1 answer
  • If 87 push up can be done in 3 minutes . How many can be done in 5 ?
    13·1 answer
  • Find the missing number.<br><br> n − 9.01 = 3.86<br><br> n = ?
    6·2 answers
  • Which is the best estimate of 6 22 by using rounding or compatible numbers?
    6·2 answers
  • The commutative property can be used with subtraction. For example, the problem
    7·2 answers
  • Write an equation for the line given that m=0 and the y intercept is (0,-2)
    10·2 answers
  • A circle has a diameter with endpoints of (-3, 8) and (7, 4). What is the center of the circle?
    9·2 answers
  • The teacher drew 2 triangles, 4 squares, and 6 circles on the board. What 10 points
    10·1 answer
  • Solve for X. y=x-5 and y=6 simplify your answer as much as possible.
    7·2 answers
  • Write the exponential function for each table of values. Remember the function y = a(b)*
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!