Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.

The number of hot dogs on any particular day is given by:

where n represents the nth day.

Step-by-step explanation:

Let represents the number of hot dogs in nth day of his training.

As it is given that  he eats 4 hot dogs on his first day of training that means:

Now it is also given that:

he plans to eat 110% of the number of hot dogs he ate the previous day.

i.e. the recurrence relation is given as:

which could also be written as:

Now:

Hence, the number of hot dogs on any particular day is given by:

where n represents the nth day.

true

step-by-step explanation: