Write a recursive and explicit formula for the following arithmetic sequences-5,-2,1,4

You are adding three to the last term to get to the next one.

a = - 5

d = 3

Explicit Formula

tn = a + (n - 1)*d

Example

t4 = -5 + (4 - 1)*3

t4 = -5 +3*3

t4 = -5 + 9

t4 = 4 which is exactly what you show.

Recursive formula

f(n) = f(n - 1) + 3

Example

n = 5

f(5) = f(4) + 3

f(5) = 4 + 3

f(5) = 7

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet