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
Viktor [21]
3 years ago
5

Write the explicit rule for the arithmetic sequence

Mathematics
1 answer:
blagie [28]3 years ago
6 0
Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n

Answer: an=23+4n
You might be interested in
At a concession stand, five hot dog(s) and four hamburger(s) cost $15.25, four hot dog(s) and five hamburger(s) cost $16.25. Fin
ANTONII [103]

Answer:

0.45

3.25

Step-by-step explanation:

16.25 ÷ 5 = 3.25

15.25 - 3.25 × 4 = 2.25

2.25 ÷ 5 = 0.45

Check Answer:

3.25 × 5 = 16.25

0.45 × 4 = 2.25

3.25 - 2.25 = 1

16.25 - 1 = 15.25

<u><em>~lenvy~</em></u>

3 0
3 years ago
Explain how you can tell 31\33 is in simplest form
Troyanec [42]
Because the factors of 33 are 11 and 3
31 doesn't have a factor of 11 or 3 so it is simplest form

also, 31 is prime so it can't be factored
5 0
4 years ago
On a blueprint, an architect drew a 12 inch line to represent the length of a 30-foot room. If the line that represents the widt
mash [69]

Answer:

20 ft

Step-by-step explanation:

30 ft/ 12 inches= 2.5ft/in x 8 in= 20 ft

I hope this helps and good luck!

6 0
3 years ago
lily is using seashells to make necklaces.Each necklace has 7 shells.Make an input/output table that shows the number of shells
irakobra [83]
\left[\begin{array}{ccc}10&70\\15&105\\25&175\end{array}\right]
3 0
4 years ago
Read 2 more answers
Someone plz help been stuck on this question for the last 2 hours
n200080 [17]

Answer:

  • 7% interest = $10,000
  • 13% interest = $20,000

Step-by-step explanation:

First find out what an 11% return on $30,000 is.

= 11% * 30,000

= $3,300

Use simultaneous equations.

Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.

0.07x + 0.13y = 3,300

x + y = 30,000

y = 30,000 - x

0.07x + 0.13 (30,000 - x) = 3,300

0.07x + 3,900 - 0.13x = 3,300

0.07x - 0.13x = 3,300 - 3,900

-0.06x = -600

x = -600 / -0.06

x = $10,000

y = 30,000 - x

= 30,000 - 10,000

y = $20,000

6 0
3 years ago
Other questions:
  • Mariah can drive her car 580 miles at a steady speed using 20 gallons of gasoline. Find the unit rate
    13·1 answer
  • Evan has 4 1/2 cups of flour he wants to split equally among 2 1/2 recipe portions how much flour will be in each portion
    11·1 answer
  • What is the 101st term in the sequence 852, 846, 840, … ?<br> 1452<br> 1458<br> 246<br> 252
    12·1 answer
  • How to determine if 4 or more points are coplanar, and if they are not, why is that?
    6·1 answer
  • Bristol is analyzing positive daily customer feedback on different restaurants to find the perfect place to invest. She would li
    6·1 answer
  • I am thinking of a number if you multiply my number by 4 add -4 to the product and then take one third of the sum the result is
    6·1 answer
  • $30:$6<br><br> Simplify the ratio.<br><br> A.<br> 1:5<br> B.<br> 3:15<br> C.<br> 5:1<br> D.<br> 15:3
    6·2 answers
  • Find the value of x.
    5·1 answer
  • How can I solve this?<br>Please use the simplest format​
    8·1 answer
  • Refer to the photo :D
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!