determine whether the number is divisible by 3. give a reason based on the tests for divisibility
71

No

Step-by-step explanation:

A little trick to easily see if things are divisible by 3 is to add the 2 numbers together.

For example with 71 if you add 7+1 you get 8. 8 is not divisible by 3.

However if you were looking at 81 you add 8+1 to get 9. 3×3=9 so 81 is divisible by 3.

By putting that into a calculator you can see that 81/3=27 and 71/3=23.6666...

Hope that helped!

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.