Zoey knit a total of 24 centimeters of a scarf over 3 nights. How many nights will Zoey have to spend knitting in order to knit a total of 40 centimeters of the scarf? Options:
5
6
7
4
Thank you! You guys really help!

5 nights

Step-by-step explanation:

24 / 3 = 8 centimeters for 1 night

40 / 8 = 5 nights

8 x 5 = 40 centimeters

, 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