General Sequences and Series
Arithmetic Sequences
Geometric Sequences
Arithmetic Series
Throwbacks
100
What is the difference between a sequence and a series?
A sequence is an ordered list of numbers, whereas a series is the sum of a given number of terms in a sequence.
100
What does the acronym "smh" stand for?
"shaking my head"
100
For the given sequence, find the common ratio and the 9th term:
1/2, 2, 8, ...
r = 4
a12 = 32,768
100
Find S9
13, 15, 17, ...
S9 = 189
100
Solve: -4|x+2|< 16
all real numbers
200
What is the difference between an arithmetic and a geometric sequence?
An arithmetic sequence is a sequence that has a common difference (the same number gets added each time).
A geometric sequence is a sequence that has a common ratio (the same number gets multiplied each time).
200
Given that a1 = 7 and an = an-1 - 3, find a6.
a6 = -8
200
How many Harry Potter books and movies are there?
7 books, 8 movies
200
Evaluate the given series.
S10 = 365
200
Find the inverse of f(x) = 3(x+7)2
f-1(x)=
sqrt(x/3)-7
300
Given a1 = 2 and an = 4an-1 + 1, find a5.
a5 = 597
300
For the given sequence, find the common difference and the 10th term.
9, 12, 15, 18, ...
d = 3
a10 = 36
300
Given that a1 = -5 and an = 2an-1, find a6.
a6 = -160
300
Who sings the song "Say So"?
Doja Cat
300
Find the vertical and horizontal asymptotes:
y = 3/(x-8
VA: x = 8
HA = y = 0
400
There are 130 students in grade 1, 210 students in grade 2, and 290 students in grade 3 in a primary school, and so on in an arithmetic sequence. What's the total amount of students in the school? (there are 6 grades in the school).
1980 students
400
Find three arithmetic means between -3 and 29.
5, 13, 21
400
Find two geometric means between 6 and 162.
18, 54
400
Evaluate the following series:
a1 = 42, an = 146, n = 14
1316
400
What day is Star Wars day?
500
What singer holds the record for the most Grammy nominations?
Beyonce
(She has a total of 88 nominations!)
500
Given the explicit formula below, find the first four terms and a15.
an = -11+(n-1)7
-11, -4, 3, 10
a15 = 87
500
Given the explicit formula below, find the first four terms and a10 (round to nearest thousandth).
an = (1200)(1/2)n-1
1200, 600, 300, 150
a10 = 2.344
500
Determine the number of terms in the series:
-1 + 2 + 5 + ... + 68
n = 24
500
Factor: 27x3-64
(3x-4)(9x2+12x+16)