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
jek_recluse [69]
2 years ago
8

If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.​

Mathematics
1 answer:
Darina [25.2K]2 years ago
3 0

Answer:

2

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

You might be interested in
If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of x
Ulleksa [173]
For this question, we can assume that RS + ST = RT.  So now, we just have to plug in the expressions for these lengths, and solve the equation.

(3x+1) + (2x-2) = 64

Because we are only dealing with one operation, the parentheses aren't necessary.

3x + 1 + 2x - 2 = 64

Next, we should combine like terms on the left side of the equation. We know that 3x + 2x = 5x, and that 1 - 2 = -1.

5x - 1 = 64

The goal of an equation is to get the variable alone.  To do this, we have to get rid of the -1 on the left side of the equation.  So, we are going to add 1 to both sides of the equation, to cancel out the -1 on the left side.

5x = 65

Finally, we are going to divide both sides by 5, as this is the inverse operation of multiplication, which is how the 5 and the x are connected.

x = 13

Therefore, the value of x is 13.
3 0
3 years ago
When a baby panda is born, it is 6cm in length. Every week after this, its size increases by 5 cm. Write an equation in slope in
Neporo4naja [7]

Answer:

56cm, y=5x+6

Step-by-step explanation:

The baby panda's initial or starting length is 5cm. This is the y-intercept or b value. We also know that the panda increases every week by 5 cm. This is the rate of change or slope. This is m. We can write in slope-intercept form y=mx+b.

y=5x+6

We substitute x=10. y=5(10)+6=56cm

5 0
3 years ago
I need a-n answers!!! help plseaseeeee
bekas [8.4K]
A = consecutive interior
b= alternate exterior
c= consecutive exterior
d= alternate interior
e= corresponding
f= none
g= consecutive exterior
h= corresponding
i= alternate exterior
j= consecutive exterior
k=corresponding
l= alternate exterior
m= alternate interior
n= consecutive interior
5 0
3 years ago
6. You roll a 6 sided die and flip a coin. What is the
MakcuM [25]

Answer:

for the die it's a 4 to 6 chance and the coin is a 50% chance

5 0
2 years ago
Find the volume of this sphere.<br> Use 3 for TT.<br> V<br> V [?]ft3<br> V = Tr3<br> 16ft
Vedmedyk [2.9K]

Answer:

well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66

8 0
3 years ago
Other questions:
  • What is d equal to? 3(2d-8)=11d-18(d-3)
    8·1 answer
  • The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of
    6·2 answers
  • Which equation shows the quadratic formula used correctly to solve 7x^2=9+x for x?
    12·2 answers
  • Find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)
    10·1 answer
  • Show that log√7 + log√20 - log√14 = 1/2
    6·1 answer
  • Which is a true statement about an exterior angle of a triangle
    5·1 answer
  • Determine the range of values containing 90% of the population of x. From a very large data set (N &gt; 50,000), x is found to h
    6·1 answer
  • explain why the sine of x is the sample regardless of which triangle is used to find it in the figure
    15·1 answer
  • Please geniuses answer this!!!
    9·1 answer
  • PLEASE HELP ME WITH THESE TWO QUESTIONS PLEASE
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!