Here are the rules of a game. Each person chooses heads or tails at random, then a coin is thrown.
People who choose the side shown by the coin are left in the game.
The rest are out of the game.
If a group of 1000 people are going to play this game, how many people might you
expect to be left in the game after 5 throws?

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.