Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced 2 1/4 hours. by how much fid she increase the time she practiced each day?

she increased by 75 more each day

, 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