Esmeralda likes to listen to music while she works out. she had a playlist on her mp3 player that lasted 40 minutes, but she accidentally deleted 25%of the music. does esmeralda have enough music left on her playlist for 30 minutes workout

Esmeralda has enough music left in her playlist for a 30 minute workout

Step-by-step explanation:

we know that

If Esmeralda accidentally deleted 25% of the music, then the percentage of music left in her playlist equals 100%-25%=75%.

Find out how many minutes represent 75% of 40 minutes

Multiply 40 by 0.75          

therefore

Esmeralda has enough music left in her playlist for a 30 minute workout

, 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