Iwill do something in return for you! worth more
hillel is juggling flaming torches to raise money for charity.
his initial appearance raises $500, and he raises $15 for
each minute of juggling performance.
the amount r of money hillel raises is a function of t, the
length of his performance in minutes.
write the function's formula.
r=

R=500(500+15)^t

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