If it can be of any interest, at 1.875 TB of total host writes, write cycles on my Samsung 840 250 GB (TLC NAND) increased to 9. Taking into account 256 GiB of flash mememory in total (of which 250GB -> 232.83 GiB are available to the user), that implies a write amplification of 1.2 in my case. Most Samsung 840/840 Pro owners I've talked to, with home usage (which includes frequent system shutdowns) have a write amplification of around 2, though.
It appears that the more the drive idles, the less the write amplification gets. Probably this gives the SSD controller's garbage collector more time to optimize its flash memory usage. I rarely shut down my systems, which it's probably why my SSDs' WA is lower than usual (not only this one, but also a couple other Samsung 830 SSDs in different PCs used in similar conditions)
Of course, actual data workload also affect write amplification. With home workloads it shouldn't get very high, though.
To answer the OP's question, assuming a write amplification of 2 (average consumer workloads), I would expect a minimum total life of at least:
[256 GiB] * [3000 P/E cycles] / [2 WA] = 384000 GiB of writes
At a sustained average of 50 GiB/day (which is *a lot*), it would mean that the drive would last 21 years.