Frequencies of the symbols

Suppose we have a Huffman tree for an alphabet of n symbols, and that the relative frequencies of the symbols are 1, 2, 4, ..., 2ⁿ⁻¹. Sketch the tree for n=5; for n=10. In such a tree (for general n) how many bits are required to encode the most frequent symbol? the least frequent symbol?

Nobody's finished this exercise yet. You'll be the first!