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
Ghella [55]
3 years ago
5

The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the n

th term of this sequence?
A:an=6n-9
B:an=14n+6
C:an=6n+14
D:an=9n-6
Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

a + 2d = 9 (1)

a + 2(6) = 9

a + 12 = 9

a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9

You might be interested in
Which point is on the graph of the function y=3x+2<br>A.(1,5)<br>B.(2,3)<br>C.(3,2)<br>D.(5,1)​
evablogger [386]

Answer:

fyi links that are posted are fake

Step-by-step explanation:

4 0
3 years ago
A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick
Andreyy89

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

=0.01 \pm 0.0002 $ Inches

We can then calculate the least allowable thickness of the filament as:

=0.01 - 0.0002 \\=0.00998$ Inches

The least allowable thickness of the filament is 0.00998 Inches.

3 0
3 years ago
You want to convert 1 kg to milligrams. You already know that 1 kg equals 1000 g explain how knowing that 1 gram equals 1000 mg
butalik [34]
1 kg=1000g*1000mg/1g=1000000mg =10⁶ mg
or you can use proportion

1000g - x mg
1 g     -1000mg
x=1000*1000=1000000mg 

1kg=10⁶ mg
6 0
3 years ago
Read 2 more answers
$39 pizza order 15% tip
Svetllana [295]
44.85 BOOM get answered ~ vinny
8 0
3 years ago
Read 2 more answers
What is 40% of 80% i need help with this
myrzilka [38]
Percent means per one-hundred...

(40/100)*(80/100)=3200/10000=32/100=32%


4 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate ∬y dA where R is the region between the disks x^2+y^2 &lt;=1 &amp; x^2+(y-1)^2 &lt;=1
    5·1 answer
  • What is not an acceptable form of proof
    14·1 answer
  • Simplify<br>4×4×4×4 and 2×2×2×2×2​
    14·2 answers
  • The difference between -89.2 and 56.7
    14·2 answers
  • A storage container is in the shape of a rectangular prism. The container has a length of 10 feet, a width of 8 feet, and a heig
    13·1 answer
  • Pls help! And I will mark you as brainlist im not joking!
    9·1 answer
  • 0.00098421, in standard notation to scientific notation
    5·1 answer
  • The image below, what is true about angles 1, 2, and 3?
    8·2 answers
  • West ridge highschool is holding an honor roll banquet. It costs $95 to rent the cafeteria plus $13 for each person attending th
    5·1 answer
  • Bu soruyu yapana 15 puan​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!