Give a recursive definition for the set y of all positive multiples of 7. that is, y = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, }. your definition should have a base case and a recursive part.

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.