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
Ray Of Light [21]
3 years ago
9

HELP PLEASE!!! The fourth term in an arithmetic sequence is 19 and the sixth term is 27. If the first term is a1, which is an eq

uation for the nth term of this sequence
Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0

Answer:

The nth term = a1 + 4(n - 1).

Step-by-step explanation:

The  value of the 6th term - the values of the fourth =  2 * common difference (d).

So, d = 27 - 19 = 2d giving d = 8/2 = 4.

The nth term is  an = a1 + 4(n - 1).

To find the value of a1  we use the knowledge that a4 = 19

Taking 4 away from this gives us the  3rd term = 15. To get a1 we need to take another 2 4's away. This gives us 15-8 = 7.

So the nth term  = 7 + 4(n - 1).

antiseptic1488 [7]3 years ago
4 0

Answer:

an =7+4(n-1)

Step-by-step explanation:

an =a1+ d(n-1) is the equation for an arithmetic sequence

When n=4   an =19

19 =a1 + d(4-1)

19 =a1 + d(3)

When n =6  an =27

27 = a1 +d*(6-1)

27 = a1 +d*5

Now we have 2 equations and 2 unknowns

19 =a1 + d(3)

27 = a1 +d*5

Subtract them to eliminate a1

 27 = a1 +d*5

-19 =a1 + d(3)

-----------------------

8   =   2d

Divide by 2

8/2 = 2d/2

4 =d

The common difference is 4

Now we need to find  a1

 27 = a1 +d*5

27 = a1 + (4) *5

27 = a1+ 20

Subtract 20 from each side

27-20 =a1 +20-20

7 =a1

The initial term is 7

an = a1+ d(n-1)

an =7+4(n-1)

You might be interested in
Work out the percentage change to 2 decimal places when a price of £110 is<br> decreased to £98.
djyliett [7]

Answer:

10.91% decrease

Step-by-step explanation:

98/110 x 100 = 89.090909

100 - 89.0909 = 10.909090 to 2dp is 10.91%

8 0
3 years ago
Find the measure of the arc. Please help!
kolbaska11 [484]

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

4 0
3 years ago
Help please :&lt;<br> I don't get this that well
Thepotemich [5.8K]

Answer:

1. Combining like terms

2. Distributive property

3. Subtraction (both sides)

4. Addition(both sides)

5. Division

Step-by-step explanation:

7 0
3 years ago
What property is<br> 7. (6 - 1)<br><br> 7.6 - 7.1
MA_775_DIABLO [31]

Answer:

associatve property

Step-by-step explanation:

4 0
3 years ago
3 less than twice a number x
serg [7]
3 less than twice a number x.

Twice a number would be the x multiplied by 2, and 3 less would be 3 subtracted by 2*x.

2x-3 <- The numeral form.

I hope this helps!
~kaikers
8 0
4 years ago
Other questions:
  • Jordan wants to use an 18% employee discount for the new I-phone. There is a 8.5% tax applied after the discount. If the I-phone
    6·1 answer
  • 9x + 3y + 4 -8 what r the constants coefficients and how many terms
    5·1 answer
  • Draw graphs of the following lines: The line through (-5, 2) having the slope of -3
    13·2 answers
  • What is the period of the sinusoidal fynction below?<br> f(x) = 2 cos(3x – 360) + 3
    7·1 answer
  • The combined area of two squares is 45 square centimeter each side of one square is twice as long as the side of another square
    15·1 answer
  • The water level in a lake changed by -28 centimeters in 7 days. The water level changed by the same amount each day. How much di
    6·1 answer
  • 2. A skydiver jumps from a plane from an altitude of 6000 ft. An observer on the ground measures the skydiver’s altitude at time
    15·1 answer
  • Which of these fractions is not the same as 1/3?
    13·2 answers
  • Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6,4).
    8·2 answers
  • I NEED THIS DONE RIGHT ASAP !!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!