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
dezoksy [38]
3 years ago
15

Indicate a general rule for the nth term of this sequence. 6a, 3a, 0, -3a, -6a, . . .

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0
6a-(n-1)(3a) is the nth term
Expanding we get 6a-3an+3a=9a-3an=3a(3-n)
SOLUTION: nth term is 3a(3-n)
Elza [17]3 years ago
4 0

Answer:

The answer is a_n=6a-3a(n-1)

Step-by-step explanation:

In order to determine the general rule, we have to identify the difference between each term. We have to subtract every two continuous terms:

3a-6a=-3a\\0-3a=-3a\\-3a-0=-3a\\-6a-(-3a)=-6a+3a=-3a

Then, we know that we have to subtract -3a to every next term. The first term of the sequence is 6a and after that we have to subtract -3a since the second to the nth term.

Thus the nth term of the sequence is:

a_n=6a-3a(n-1)

To check the expression:

n=1\\a_1=6a-3a(1-1)=6a-3a(0)=6a\\\\n=3\\a_3=6a-3a(3-1)=6a-3a(2)=6a-6a=0

So, the expression is right.

You might be interested in
What is another way to represent 100
NeX [460]

Answer:

The Roman numeral Ⅽ

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Kermit The Frog could eat 8 flies in 30 minutes. How long would it take Kermit to eat 20 flies? (write the answer in minutes ¬¬¬
Vedmedyk [2.9K]

Answer:

75 minutes

Step-by-step explanation:

5 0
3 years ago
Calculate the force when the pressure is 18 N/M squared and the area is 4 M squared.
Doss [256]
The force is 72 Newton
8 0
3 years ago
Carbon-14 has a half-life of 5,700 years. Scientists use this fact to determine the age of things made of organic material. Supp
kumpel [21]
I think it’s b! hearts
8 0
3 years ago
What is 4*6 i need help
vlabodo [156]

Answer:

24

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Which is an equation of the line with a slope of (1,4) and a y-intercept of-2​
    14·1 answer
  • In an arithmetic sequence the sum of the first six odd-numbered terms (a1,a3,a5,a7,a9 and a11) is 60. find the sum of the first
    6·1 answer
  • Suppose you are spinning pennies to test whether you get biased results. When you reject the null hypothesis when it is actually
    7·1 answer
  • What is 12/25 divided by 4
    6·2 answers
  • The length of a rectangle is 98 inches. The ratio of the length to the width is 4:3. Find the width.
    11·2 answers
  • can i help me find four numbers such that when the first of them is divisible by 4, when the second is multiplied by 4, when the
    6·1 answer
  • 17 caps cost 43.86. if all caps cost the same,how much does each cap cost
    7·2 answers
  • Jack had $10.00. He bought a pair of socks for $2.30 and a pair of gloves for $5.50. How much money did he have left?
    13·1 answer
  • There are 14 boys and 13 girls in a class. Write the ratio of boys<br> to girls.
    12·2 answers
  • True or false<br> the democratic republicans favored a STRICT interpretation into the constitution
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!