1. ## quadratic linear or exponential

1. 1,4,9,16,25,36

2. 6,9,12,15,18

3. 3,9,18,30,45,63

2. Originally Posted by william

1. 1,4,9,16,25,36

2. 6,9,12,15,18

3. 3,9,18,30,45,63
the first is the series of the squares of the first 6 natural numbers. Hence... quadratic, since it relates to squares.

The second is simply adding 3 each time, hence linear.

The intervals between elements of the third increase rapidly in size. It is exponential.

3. Originally Posted by Mush
the first is the series of the squares of the first 6 natural numbers. Hence... quadratic, since it relates to squares.

The second is simply adding 3 each time, hence linear.

The intervals between elements of the third increase rapidly in size. It is exponential.
would they be discrete or continuous relationships? I'm thinking that the quadratic and exponential ones are discrete and the linear one is continuous, what do you think?

4. Originally Posted by william
would they be discrete or continuous relationships? I'm thinking that the quadratic and exponential ones are discrete and the linear one is continuous, what do you think?
Yes I would agree. The value of each term in the quadratic and exponential sequences is not really dependent on the value of the previous term. However, the value of a term of the linear sequence depends on the value of the previous term.