Tamara and jason work at a widget factory. tamara arrived at work before jason and began making widgets. tamara had already made 20 widgets when jason began his work. tamara was producing widgets at a rate of 8 widgets per hour. jason was able to produce widgets at a rate of 12 widgets per hour. at some point, tamara and jason will have produced the same number of widgets.

, 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

answer: 3.26019516

step-by-step explanation: