Arithmetic Sequences and Series
Geometric Sequences and Series
Infinite Sequences and Series
Sigma Notation and the nth Term
The Binomial Theorem
100
Find the next four terms in the arithmetic sequence: 5, -1, -7
What is -13, -19, -25, -31 formula used: a2 - a1 = d
100
Determine the common ratio and find the next three terms of the geometric equation sequence: 8, -20, 50
What is r = -2.5 next three terms: -125, 312.5, -781.25 Formula(s) used: a2 / a1 = r
100
Find the limit: lim (9n^3 + 5n - 2) / 2n^3
What is 9/2
100
Write each expression in expanded form and then find the sum: 5 ∑5a a=2
What is 10 + 15 + 20 + 25
100
Use the Binomial Theorem to expand the binomial: (3 - x)^5
What is 243 - 405x + 270x^2 - 90x^3 + 15x^4 - x^5
200
Find the sum of the first 26 terms in the series: - 19 - 13 - 7
What is 1456 Formula(s) used: a1 - a2 = d Sn = (n/2)[(2a1 + (n - 1)d]
200
What is the sum of the first five terms of the series: 5/3 + 5 + 15 + ...
What is 605/3 or 201.666.... Formula(s) used: Sn = (a1 - a1r^n) / (1 - r)
200
Find the sum of the series: 10 + 5 + 2.5 + ...
What is 20 Formula(s) used: Sn = (1 - r^n) / (1 - r)
200
Express each series using sigma notation: 6 + 9 + 12 + 15
What is 4 ∑(3k + 3) k=1
200
Find the designated term of the binomial expansion: 6th term of (2p - 3q)^11
What is -7185024p^6q^5
M
e
n
u