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
aivan3 [116]
3 years ago
11

The 200th term of the arithmetic progression 10 97,94,91,.............is​

Mathematics
1 answer:
azamat3 years ago
5 0

Answer:

-500

Step-by-step explanation:

Given sequence;

    97, 94, 91 ......

Unknown;

The 200th term of the sequence;

Solution:

Since we were given an arithmetic progression, we need to first find the common difference;

 Common difference  = second term - first term

                                     = 94 - 97  

                                     = -3

To find the 200th term, we use the expression below;

     Sn  = a + (n-1)d

   a is the first term

    n is the nth term

   d is the common difference

 S₂₀₀ = 97 + (200 - 1 ) x -3 = -500

You might be interested in
Which statmen is true about the slope of the line rt​
snow_lady [41]
D. The slope is the same between any two points because it is linear.
4 0
3 years ago
9. Which equation is represented by the table?
mixas84 [53]

Answer:

#2.

Step-by-step explanation:

4 0
3 years ago
Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid below. If each unit repr
NNADVOKAT [17]

Answer:

C. 26 yards

Step-by-step explanation:

Jamie's fence total length = perimeter of the polygon

Perimeter of the polygon = AB + BC + CD + DE + EF + FA

AB, FA and DE can be worked accordingly as shown below:

AB = |-5 - 0| = 5 units

FA = |5 - 2| = 3 units

DE = |1 -(-2)| = 3 units

BC, CD, and EF can be calculated using the formula d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Distance between B(0, 5) and C(4, 2):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

B(0, 5) = (x_1, y_1)

C(4, 2) = (x_2, y_2)

BC = \sqrt{(4 - 0)^2 + (2 - 5)^2}

BC = \sqrt{(4)^2 + (-3)^2}

BC = \sqrt{16 + 9} = \sqrt{25}

BC = 5 units

Distance between C(4, 2) and D(1, -2)

CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

C(4, 2) = (x_1, y_1)

D(1, -2) = (x_2, y_2)

CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2}

CD = \sqrt{(-3)^2 + (-4)^2}

CD = \sqrt{9 + 16} = \sqrt{25}

CD = 5 units

Distance between E(-2, -2) and F(-5, 2):

EF = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

E(-2, -2) = (x_1, y_1)

F(-5, 2) = (x_2, y_2)

EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2}

EF = \sqrt{(-3)^2 + (4)^2}

EF = \sqrt{9 + 16} = \sqrt{25}

EF = 5 units

Total length of the wall in yards = 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

4 0
3 years ago
A gym has soccer balls and basketballs. The ratio of soccer balls to basketballs is 3 : 2. The number of soccer balls at the gym
galben [10]
5 the answer is 5    Good Luck!

7 0
3 years ago
Read 2 more answers
Can someone help please
xxTIMURxx [149]

Answer:

y=x-5

Step-by-step explanation:

the slope is one

So to find the y intersect you need to plug in the numbers given, like this:

-2=3 + b

subtract the three

-5=b

the y intercept is -5

y=x-5

4 0
3 years ago
Other questions:
  • I need help w this, please??
    5·1 answer
  • 2. Calculate the followings<br>96 + 12 = 7<br>A. 8<br>B. 10<br>c. 12<br>D. 9​
    11·1 answer
  • A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C,
    10·1 answer
  • 7. The sixth grade class took a trip to the local fast food burger chain for lunch. They bought 1950
    14·1 answer
  • Help pls!!ty!!:))):):
    8·1 answer
  • PLS ANSWER WHAT IS 3 and 14 hundredths minus 1 and 9 hundredths?
    8·1 answer
  • What is the length of this pool?<br> 6 ft<br> X<br> 97<br> 5 ft
    5·1 answer
  • Una was asked to write about predicting population means by taking the means of samples. She recorded a list of some statements
    9·2 answers
  • PLEAS HELP ME QUICK I WILL GIVE BRAINLY
    9·1 answer
  • I need answer please​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!