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
Makovka662 [10]
3 years ago
6

Which recursive definition could be used to generate the sequence {3, 6, 3, 6, 3,...}? A) a1 = 3 and an = an-1 + 3n

Mathematics
1 answer:
barxatty [35]3 years ago
8 0
The answer is choice C

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

You start off with the first term being a1 = 3

Then you add on 3 to get to 6 as the second term

The next thing to do is add on -3, which is the same as subtracting 3, to get back to 3 once more.

This pattern continues on forever. To ensure you add on either +3 or -3 to the previous term, we add on the general term 3*(-1)^n

Overall, the nth term is found by a(n) = a(n-1) + 3*(-1)^n, which is what choice C shows. I'm assuming your teacher meant to write 3(-1)^n instead of 3(-1)n
You might be interested in
Need help with inscribed angles If M
Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and m\angle BCD=30^\circ.

To find:

The m\angle AOB.

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

\angle OBA\cong \angle BCD        [Alternate interior angles]

m\angle OBA=m\angle BCD

m\angle OBA=30^\circ

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

\angle OAB\cong \angle OBA      [Base angles of an isosceles triangle]

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

In triangle AOB,

m\angle OAB+m\angle OBA+m\angle AOB=180^\circ

30^\circ+30^\circ+m\angle AOB=180^\circ

60^\circ+m\angle AOB=180^\circ

m\angle AOB=180^\circ-60^\circ

m\angle AOB=120^\circ

Therefore, the measure of angle AOB is 120 degrees.

6 0
3 years ago
A garden snail moves 1/6 foot in 1/3 hours. what is the unit rate?
fiasKO [112]
1 hour=1/6+1/6+1/6
1 hour=3/6
1 hour=1/2

for every hour, the snail moved 1/2 a foot
8 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP TIME RUNNING OUT WILL AWARD 20 POINTS
Trava [24]
(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x^2 + 4x+5x+20=x^2+x+12x+12
9x + 20 = 13x + 12
 13x-9x = 20-12
        4x = 8
          x = 2
7 0
3 years ago
Read 2 more answers
PLS ANSWER QUICK! Thanks!
ziro4ka [17]

Answer:

The correct answer would be a=\sqrt{c^2-b^2}

Step-by-step explanation:

given a^2+b^2=c^2 we want to solve for a

How?

We can do this by using basic algebra ( isolating the variable (a ))

Step 1 subtract b^2 from each side

a^2+b^2-b^2=a^2\\c^2-b^2=c^2-b^2

now we have a^2=c^2-b^2

step 2 take the square root of each side

\sqrt{a^2} =a\\\sqrt{c^2-b^2} =\sqrt{c^2-b^2}

we're left with a=\sqrt{c^2-b^2}

Hence your answer is A

5 0
3 years ago
6/7 x 56 in multiplied and in its simpliest form
vazorg [7]
So, 6/7*56/1
56*6/7
336/7
the answer is 48
6 0
3 years ago
Read 2 more answers
Other questions:
  • A standard cofee mug has a capacity of 16 fluid ounces .If annie needs to fill 26 mugs with coffee how many total quarts of cofe
    7·1 answer
  • Why did colonists oppose the Stamp Act?How much would 3 go into 90
    11·2 answers
  • How do I know which KCL & KVL equations are independent?
    12·1 answer
  • Please help if you can!
    10·2 answers
  • What is 6x + 9^3 factorsied
    10·1 answer
  • Madison is preparing rice for 10 dinner guests. Each guest
    14·1 answer
  • What is the prime factorization of 693​
    11·1 answer
  • Find the volume of pyramid with a triangular base. The triangle has a base of 5cm and a height of 14cm. The height of the pyrami
    11·1 answer
  • What is 901,000 written in scientific notation?
    7·1 answer
  • Light travels a distance of one mile in about 0.000005368 second.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!