Sequences
List the first 4 terms starting at n=0:
4n/n2-7
a0=0
a1=-2/3
a2=-8/3
a3=6
Find the first TWO terms; n=1
Σ n2n
S1=2
S2=10
Determine if the series converges or diverges
∑n=1 1 / 3√n5
Converges to 5/3 (p-series)
∑n=4 (n2)/(n3-3)
Diverges (Harmonic series)
What is the name of the camp in Friday the 13th?
Camp Crystal Lake
Determine the rule for the sequence:
{4, -12, 36, -108, 324,...}
an=4(-3)n-1
Determine if converges or diverges:
Sn=(5+8n2)/(2-7n2)
Converges to -8/7
Determine if the series conv or div:
∑n=1 ne-n^2
Converges to 1/2e
∑n=2 (n-1)/n(n+1)
Converges via Comparison Test
How many people were Ghostface in the first Scream movie?
Two
Determine the rule for the sequence:
{2, 11, 20, 29, 38,...}
an=9n-7 OR 2+9(n-1)
Determine if the series converges or diverges:
Sn=(n2)/(5+2n)
Diverges
Determine if the series converges or diverges:
∑n=2 1/(2n+7)3
Converges to 1/484
Use alternating series test:
∑n=1 (-1)n-1/7+2n
Converges by AST
Which two horror movie franchises were first video game series?
Silent Hill & Resident Evil
Determine if the sequence converges or diverges.
lim (3n2-1) / (5n2+4n)
(as n goes to infinity)
Converges to 3/5
Determine if series converges or diverges:
∑ 32+n21-3n
Determine if the series converges or diverges:
∑n=2 1/n*ln(n)
Diverges
∑n=0 (-1)n+3/n3+4n+1
Converges
Who directed the horror movies Get Out, Us, and N.O.P.E?
Jordan Peele
Determine if the sequence converges or diverges:
cos(n*pi)
Diverges (alternates between -1 & 1)
Determine if the series converges or diverges:
∑ (3)/(n2+7n+12)
Converges to 3/4
Determine if the series converges or diverges:
∑n=0 2/3+5n
Diverges
∑n=0 (-1)n+6n/n2+9
Converges
What is the highest-grossing horror movie of all time?
IT