Use r = 2 and r = 5 to determine if the two expressions are equivalent. r + 4(2 + r) – 12 8 + 2r – 6

No they are not equivalent

Step-by-step explanation:

The given expressions are r + 4(2 + r) – 12, and  8 + 2r – 6

Let us first put r= 2 in the above expression

2+4(2+2)-12= 6

and 8+2(2)-6 = 6

Now let us put r=5 in the above two expressions

5+4(2+5)-12 = 21

similarly, 8+2(5)-6 = 12

Clearly, the two expressions are not equivalent when we put r=2 and r=5 as the values coming are different.

the first expression is 6.

the second expression is 12.

they are NOT equivalent.

hope this helps!! have a nice day/night

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.