Well yes and no. The simple model might suggest that after 5 generations (1/2, 1/4, 1/8, 1/16, 1/32) the generation is only 1/32 of the original. 1/32 doesn’t sound like much, But specific dominant traits which are expressed in you today because they are “dominant” would likely persist in them because they are “dominant”. Like brown eyes. Also some genes cluster because they are located closely on the chromosomes and so would inherited traits. And finally the other mathematical element of reproduction is present. Multiplication. With each generation the number of people which are my progeny increases. Assuming each generation is only fertile enough for replacement. I have two kids. Replacing myself and their mother. And they have two kids replacing themselves and their future spouses, etc (2,4,8,16,32) after 5 generations there are 32 people you would look at to determine if they had any of my traits, and I expect you would be able to find individuals in the 32 which would retain a cluster of the original genes especially dominant that are expressed in that generation. They would have my hair color or straightness, or smile etc. or they may “think” like me or something else. Because these traits weren’t really mine anyway, they were my great great grandparents before they were mine. And the fact that they are in us now is fact enough that they have persisted. Over the long term what persists depend on the selective pressures, which brings us back to the original topic. The multiplication and division gives us a lot of diversity in the 5th generation. What is the selective pressure determines what would be fit. In that generation which on the longer term overwhelms all the other math and you are left with what is fit. But if we keep using all the technological advancements that remove the selective pressures what was in the past selected for will be available to a smaller percentage of the population. But it’s exchanged at the cost of less death so 🤷.