A freely falling body starting from rest falls 16ft during the first second 48ft during the second second 80ft during the third second etc. calculate the distance it falls during the fifteenth second and the total distance it falls 15 seconds from rest

answer: get jesus in your life

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

thats not a system of equations, that is a solution