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
sladkih [1.3K]
3 years ago
10

The 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 1st term

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

5

Step-by-step explanation:

The 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 1st term

We know we have an arithmetic sequence.

a_n = (n - 1)*d + a_1

given:

a_6 = 35 = (6-1)*d + a_1

a_13 = (13 -1)*d + a_1 = 77

find a_1

we have  35 = 5d + a_1

and  77 = 12d + a_1

2 equations in 2 unknowns.

We can solve this.

77 = 12d + a_1

35 = 5d + a_1

minus  the 2 equations from each other.

77 - 35 = 12d - 5d + a_1 - a_1

42 = 7d

d = 6

Find a_1

35 = 5*6 + a_1

35 = 30 + a_1

a_1 = 35 -30 = 5

a_1 = 5

You might be interested in
Allie needs at least 50 hours of community service for social studies class. She already has 20. How many more hours does she ne
Lady_Fox [76]

Answer:

x+20>50

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can someone, help. I'm so confused
Lena [83]
Okay, so it basically means you're subtracting.
I'm going to give some examples of what the answer could be.

1. 5 - 5 = 0
2. 5 - 4 = 1
3. 5 - 3 = 2
4. 5 - 2 = 3
5. 5 - 1 = 4
6. 5 - 0 = 5

Or of course if you feel you would like to switch the order of the problems, go ahead and try that, but no matter what happens, make sure the addition version always equal 5, so just be careful :)
6 0
3 years ago
Read 2 more answers
Two competing gyms each offer childcare while parents work out
KIM [24]
I'm sorry, what is the question here?
8 0
3 years ago
Could someone please help me? Find the domain and range of the graph
Elan Coil [88]

Answer:

C = D all real Numbers ; R y>= -2

Step-by-step explanation:

for discover the domain we have to look the x axis and check for what x the graph exist. If we look this graph we can see that there are two solid lines.

the two arrows indicate that the graph continues both to left and to the right

so the domain is all real numbers

for the range we have to check the y axis. If we look at the graph we can see that under -2 there is nothing, while up -2 the graph continues to raise,

so the range is y>= -2

so the final answer is C

5 0
3 years ago
Consider the function f(x)=-2/3x +5 <br> what is f(-6) <br> enter your answer in the box <br> f(-6)=
GaryK [48]

Answer:

f(- 6) = 9

Step-by-step explanation:

to evaluate f(- 6), substitute x = - 6 into f(x)

f(- 6) = - \frac{2}{3} × - 6 + 5

        = - \frac{2(-6)}{3} + 5 = 4 + 5 = 9


4 0
3 years ago
Other questions:
  • Find all points on the x axis 5 units away from the point (4,-4)
    11·1 answer
  • 1 _______=5,280 feet
    8·1 answer
  • 5 plus 6 minus 4 plus 2 times 6 divided by 3= x x=10 how
    15·2 answers
  • Which statements are true? <br> Please see picture
    15·2 answers
  • Which rule was used to translate the image?
    9·1 answer
  • If the length of the building is 86 meters and it's height is 55 meters what is the area of his face of the building?
    5·1 answer
  • TZ is a midsegment, which of the following statements CANNOT be true
    14·1 answer
  • 5.3g + 8 = 3.3g + 20
    11·1 answer
  • Rachel bought a sheet of fifty 34-cent stamps from the post office. she paid for the stamps with a $20 bill. how much money shou
    10·1 answer
  • Write one statistical question (your data needs to have variability), that you could ask the students in your class that would r
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!