Sequences
What is the next term in the sequence?
1, 4, 9, 16, 25, 36, _________
49
sum_(k=2)^5(k^3-2)
216
lim_(x->5) (x^3-2x)
115
What is Mr. Stramaglia's favorite condiment?
Mustard
Find the 7th term in the sequence defined by:
a_n=n!-3n^2
4893
sum_(k=1)^40 3
120
lim_(x->pi)(sin((3x)/2))
-1
What is Mr. Stramaglia's useless talent?
Saying the alphabet backwards very quickly
Find the 4th term of the sequence defined by:
a_1=5, a_n=3n+a_(n-1)
32
sum_(k=1)^5 k^2
55
lim_(x->-1)((x^2+5)/(x+4))
2
Factor:
15x^2+11x-14
(5x+7)(3x-2)
Write an explicit formula for the nth term:
4, 7, 10, 13, 16, 19, ...
a_n=3n+1
Write sigma notation for the following, using k = 1
1+8+27+64+125+216+...+1000
sum_(k=1)^10 k^3
lim_(x->8)(x^(2/3)+1)
5
Simplify:
5/(x+1)+7/(x-6)
(12x-23)/((x+1)(x-6)
2, 4, 8, 16, ... , 512
Find the value of "n" if...
a_n=512
n = 9
Write sigma notation for the following with k = 1:
6+11+16+21+26+...+76
sum_(k=1)^15 (5k+1)
lim_(x->4)((x^2+3x-28)/(x-4))
11
What is the deal with decaf coffee?
Once they remove the caffeine, where do they put it?