Adigital music library contains 12 days of music and takes up 16,000 megabytes of disk space. on average, how many megabytes of disk space does one hour of music in this library take up? express your answer to the nearest whole number.

56

Step-by-step explanation:

First find how many MB in a day.

16,000 / 12 = 1333.3

Now find how many MB in one hour by dividing 1333.3 by 24 (b/c there are 24 hours in a day).

1333.3 / 24 = 55.5

Round 55.5 to 56

, 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

3

step-by-step explanation: