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 .