Ra'isa wants to knit 13 scarves in 6 days. She knits 2 scarves on the first day. Then she realizes that she will have to knit more on each day to complete the scarves in time. If she knits an equal amount on each of the remaining days, how many scarves will she knit each day.

24

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