Question

Match the type of sequence to the appropriate example. 1. 2, 9, 16, 23, ... exponential decay 2. 3, 15, 75, 375, ... arithmetic sequence 3. 0, 4, 4, 8, ... recursive sequence 4. y = (1.1)x geometric sequence 5. y = ()x exponential growth

Answer 1

Answer:

1. recursive sequence       1. 0, 4, 4, 8, ..

2. arithmetic sequence     2. 2, 9, 16, 23, ...

3. geometric sequence     3. 3, 15, 75, 375, ...

4. exponential growth       4. y = (1.1) x

5. exponential decay         5. y =  $(\frac{1}{4} )$ x

Answer 2

Answer:

y = (1.1)x is exponential growth

I'm assuming that y = ()x is 1/4 because that's what I got. y = (1/4)x is Exponential decay.

3, 15, 75, 375, ... is a Geometric Sequence

0, 4, 4, 8, ... is an Arithmetic sequence

2, 9, 16, 23 is a recursive sequence.

Step-by-step explanation:

The first two I honestly just guessed but for recursive sequences, you have to look at each previous set of terms and run the math, whether that is Addition, Subtraction, Multiplication, or Division, whatever equation gets you to the next number in line is your equation, and you keep doing so until you've reached the end of the equation. Ex: 2+7=9, 9+16=23.