# Next value in a falling sequence

Every month the price of a particular commodity falls in this order:

1024, 640, 400, 250, $\ldots$

What is the next value?

Each subsequent number is $\frac58$ of the previous one.
A084912:$$~~$$ a(1) = 1024;$$~~$$ a(n) = 5*a(n-1)/8.
Puzzle: a man offered to sell me a car two years ago for \$1024; a year later his price was \$640; a little while after that he asked \$400; and last week he was willing to sell for \$250. The next time he reduces I shall buy. At what price will I buy the car if he makes consistent reductions?
• Stunning to find this on the OEIS. Also, my first exposure to a dumb sequence. Mar 19 '16 at 21:17