After cutting a piece 1.65 m long from a piece of cable, the remaining piece is 3.50 m long. How long was the cable originally?

5.15 m

Step-by-step explanation:

To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:

1.65 + 3.5 = 5.15

The cable was originally 5.15 m long.

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.