One of the construction workers likes to listen to music on the job. Unfortunately, he also has a bad habit of accidentally dropping his music player into the ravine! Luckily his daughter is good with physics and has built a safety balloon for his latest music player that will release after the music player has been falling for one second. The time it takes for the music player to fall from the bridge to the bottom of the ravine can be modeled by the following equation: shown above.
Where T is the amount of time since the construction worker dropped his music player

Step-by-step explanation:

i think 5 miles per hour

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for