Sequences Quiz

cannot determine

geometric

arithmetic

quadratic

a. $$f\left(x\right)\ =\ 512+\ 27^x$$

b. y(x) = 512 - 9x

c. g(m) = 512m + 11

d. f(n) = 512 + 2.5n - 1

a. f(1) = 200; f(n) = .04f(n − 1)

b. f(1) = 200; $$f\left(n\right)=40\ +\ 5^{\left(n-1\right)}$$

$$f\left(n\right)\ =\ \left(0.96\right)f\left(n-1\right)$$ $$f\left(1\right)\ =\ 200$$

d. $$f\left(n\right)=\ 40\ +\ 5^{\left(n-1\right)\ }+0.96$$

a. 1.38

b. 1.30

c. 2.76

d. 1.69

a. I start with $450 in my account and make 5% interest every year.

b. I have ordered Olympic running medal winners by their times.

c. I throw a rock into a pool of water. I want to know the circumference of the circle created after a certain amount of time.

d. I record the number of bricks I've created.

Explicit arithmetic

Recursive arithmetic

Explicit geometric

Recursive geometric

0.95

0.9995

.0005

.5

f(1) = 33

f(n) = f(n-1) + 4

f(n) = 21 + 4(n-1)

f(1) = 21

f(n) = f(n-1) + 4

f(n) = f(1) + 4

The common difference is 5

The first term would be 15

The common ratio is 3

The common ratio is 5

3

$$\pm3$$

5

$$\pm5$$