Find the First 4 Terms
a_n=3n−2
What is {1,4,7,10}?
a_n = 1 - 1/n
What is strictly increasing, bounded above by 1, bounded below by 0, convergent (limit = 1)?
lim (n->inf): (2n + 1) / (3n + 4)
What is 2/3?
{3, 6, 9, 12, ...}
What is a_n = 3n?
What video game has sold the most copies worldwide?
What is Minecraft?
a_n = n / (n + 2)
What is {1/3, 1/2, 3/5, 2/3}?
a_n = (-1)^n * (1/n)
What is alternating, bounded above and below, convergent (limit = 0)?
lim (n->inf): ln(n) / n
What is 0?
{2, 4, 8, 16, ...}
What is a_n = 2^n?
What is the highest-grossing film of all time (not adjusted for inflation)?
Avatar (2009)
a_n = (-1)^n * n^2
What is {-1, 4, -9, 16}?
a_n = n / (n+1)
What is strictly increasing, bounded above by 1, bounded below by 0, convergent (limit = 1)?
lim (n->inf) n / (n + ln(n))
{2, 5, 10, 17, 26...}
What is a_n = n^2 + 1?
UIUC Alumni who starred in Parks and Rec.
Who is Nick Offerman?
a_n = 1 / (2^n)
What is {1/2, 1/4, 1/8, 1/16}?
a_n = n^2
What is strictly increasing, bounded below, divergent (goes to infinity)?
lim (n->inf) (5n^2 + 3n) / (2n^2 - 7n)
What is 5/2?
{1, -1, 1, -1, ...}
What is a_n = (-1)^(n+1)?
What year was the University of Illinois Urbana-Champaign founded?
What is 1867?
a_n = n! / (2^n)
What is {1/2, 1/2, 3/4, 3/2}
a_n = (-1)^n * n
What is alternating, unbounded above and below, divergent?
lim (n->inf): ln(n) / ln(n^2 + 1)
What is 1/2?
{1, 3, 6, 10, 15, ...}
What is a_n = n(n+1)/2?
Which famous alumni co-created the transistor and when?
Who is John Bardeen? (1947)