Question

A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 3 interactions.
If there are 3 children, there can be 12 interactions.
If there are 4 children, there can be 39 interactions.

Which recursive equation represents the pattern?

an = an – 1 + 3(n – 1)

an = an – 1 + 3(n – 1)

an = an – 1 + (3n – 1)

an = an – 1 + (n – 1)3

Answer 1

Gotta think on this one

Answer 2

a. an = a(n - 1) + 2(n - 1)
a1 = 0 + 2*0
a2 = 0 + 2*1 = 2 fails at a2

b. an = a(n - 1) + (n - 1)^2
a1 = 0 + 0^2 = 0
a2 = 0 + 1^2 = 1
a3 = 1 + 2^2 = 5
a4 = 3 + 3^2 = 12 fails at a4

Answer 3

So...it's:
d. an = a(n - 1) + (2n - 1)

Answer 4

Yes, she's right. That is the answer!

Answer 5

can someone help??
http://openstudy.com/updates/5404b92de4b0f2ed1e146373 ://

Answer 6

well no, but that's the formula method, I used a different amount of kids, but you should be able to solve now.

Answer 7

I just needed to know the recursive pattern

Answer 8

@aimee98 yes the formula is right :)

Answer 9

Yup. Medal? :O

Answer 10

listen @Pollylovesschool, thanks for wanting to help but you don't know what she is talking about.

Answer 11

Thanks, any other questions? ;]

Answer 12

@TheJonathanP4 the formula is right...she didn't give the answer...lol!

Answer 13

The yearly attendance at a local movie theater is 68,000 and grows continuously at a rate of 3.5% each year. What is the approximate attendance at the movie theater in eight years?

69,603

89,543

89,973

87,040

Answer 14

Okay, this is pretty simple. What's the first step here, Johnathan?

Answer 15

Hey, do you mind putting a question like that instead....it keeps mentioning me to come here?

Answer 16

@TheJonathanP4 do you know the first step?