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
lisabon 2012 [21]
3 years ago
14

a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess

then zero
Mathematics
2 answers:
Snowcat [4.5K]3 years ago
5 0
<h3>Answer:  -10 and -40</h3>

===============================================================

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

Tn = -30n + 230

Set Tn less than 0 and isolate n

Tn < 0

-30n + 230 < 0

230 < 30n

30n > 230

n > 230/30

n > 7.667 approximately

Rounding up to the nearest whole number gets us n \ge 8

So Tn starts to turn negative when n = 8

We can see that,

Tn = -30n + 230

T7 = -30*7 + 230

T7 = 20

and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

ikadub [295]3 years ago
4 0

Answer:

- 10

- 40

Step-by-step explanation:

By the 7th term you should be pretty close to 0. Let's show that.

a1 = 200

n = 7

d = - 30

t7 = a1 + (n - 1)*d

t7 = 200 + (7 -1)*-30

t7 = 200 + 6*-30

t7 = 200 - 180

t7 = 20

This is the last term that is positive. when you take 30 away from t7 you are going to be in negative territory.

t8 = 200 + (8-1) * - 30

t8 = 200 + 7 * - 30

t8 = 200 - 210

t8 = - 10

Now the 9th term

t9 = 200 + (9 - 1)*-30

t9 = 200 + 8 * - 30

t9 = 200 - 240

t9 = - 40

You might be interested in
If
Mrac [35]

Answer:

i feel like an astronaunt rolling deep

Step-by-step explanation:

4 0
3 years ago
-6k + 7k what's the answer
lesya [120]
The answer is k!!!!!!!!
5 0
3 years ago
Read 2 more answers
one yard company charges $50 a month to mow and edge a lawn plus $10 an hour for the worker. A second conpany charges $60 a mont
AnnyKZ [126]
The cost of company 1: 10x+50
The cost of company 2: 8x+60
The cost will be the same at:
10x + 50 = 8x + 60 \\ 2x = 10 \\ x = 5
The answer is 5 hours
7 0
3 years ago
Given that D(x)=2 select all of the following that are true statements
topjm [15]
If you're going to do a multiple choice question, please include the choices so we can better help you!
6 0
3 years ago
Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial
Diano4ka-milaya [45]

Answer:

not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = 2x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

3 0
3 years ago
Other questions:
  • What is 14x65?. Whoever answers with detail will be marked brainliest. Plz don't type random. I will give 29 points to solvers!
    13·2 answers
  • Please tell me if I'm right or wrong! No work needed! Brainliest will be given!
    14·2 answers
  • Tanya is 1.3 meters tall. She stands 7 meters in front of the tree and casts a shadow 1.8 meters long. How long is the tree
    13·2 answers
  • NEED HELP MULT CHOICE
    6·2 answers
  • Thirty increased by 5 times a number equals 80. Write only the equation!!!!!
    9·1 answer
  • -65/64 as a mixed number
    9·2 answers
  • In the nature of the roots, what if the answer is negative what will be it's root?
    5·1 answer
  • The graph of function f(x)=-1+0.5x is shown on the coordinate plane. For what value of x does f(x)=0?
    5·1 answer
  • A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?
    11·1 answer
  • An expression to show 5 less than the sum of y and g.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!