Assignment:
List the first 10 terms of each of these sequences.
a) The sequence whose nth term is the larges integer k such that K!≤ n
b) The sequence whose nth term is 3n - 2n
c) The sequence whose nth term is [√n]
d) The sequence whose nth term is the sum of the first n positive integers
e) The sequence obtained by starting with 10 and obtaining each term by subtracting 3 from the previous term
f) The sequence whose nth term is the largest integer whose binary expansion has n bits
g) The sequence whose first two terms are 1 and 2 and each succeeding term is the sum of the two previous terms
h) The sequence whose terms are constructed sequentially as follows: start with 1, then add 1, then multiply by 1, then add 2, then multiply by 2 and so on.
Provide complete and step by step solution for the question and show calculations and use formulas.