2. quan plans to spend less than $80 for buying groceries. he plans to spend $68.25 on food and spend the rest on juice. each juice carton costs $3. he is curious how many juice cartons he can purchase before he runs out of money. (a) use x to represent the number of juice cartons quan can purchase and write an inequality that can be used to solve for x. (b) solve the inequality. use the solution to determine the number of juice cartons quan can purchase

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

8

step-by-step explanation: