A tree is currently 10 feet tall and grows 2 feet per year. Write an arithmetic sequence in explicit formula that can model this scenario.

Given:

A tree is currently 10 feet tall and grows 2 feet per year.

To find:

The arithmetic sequence in explicit formula that can model this scenario.

Solution:

Current height of tree is 10 feet. So, initial value of the arithmetic sequence is a=10.

It grows 2 feet per year. So, common difference is d=2.

The explicit formula for an arithmetic sequence is

where, a is first term and d is common difference.

Put a=10 and d=2 in the above formula.

Therefore, the explicit formula for given scenario is .

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

is only a line? i think so