Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Binomial Theorem
100
The formula for an arithmetic sequence.
What is An = A1 + (n-1)d
100
Write the formula for the partial sum of an arithmetic series.
What is Sn = n ((A1 + An) / 2).
100
What is the formula for the nth term of a geometric sequence?
What is An = A1 (r)^n-1
100
Write the formula for partial sum of a geometric series given A1 and n.
What is Sn = (A1 - A1(r)^n) / (1 - r)
100
Provide the first 6 rows of Pascal's Triangle.
200
Find the 20th term of the arithmetic sequence 9, 16, 23, 30,..... using the formula.
What is 142.
200
Find the sum of 2 + 4 + 6 + .... + 100.
What is 2550.
200
Find An for the geometric sequence in which A1 = 800, r = 1/2, n = 6.
What is 25.
200
Write the formula for partial sum of a geometric series given A1 and An.
What is Sn = (A1 - An(r)) / (1 - r)
200
Expand (a + b)^4
300
Write an equation for the nth term of the sequence where A1 = 12 and d=8.
What is An = 8n + 4.
300
Find the first three terms of the arithmetic series in which A1 = 48, An = 180, and Sn = 1368.
What is 48, 60, 72.
300
Write an equation for the nth term of the geometric sequence.
What is An = 8(1/4)^n-1
300
Find the sum of the geometric series in which A1 = 2000, An = 125, r = 1/2.
What is 3875.
300
Use the binomial theorem to expand (a + b)^9.
400
Find the arithmetic means in the sequence 21, ___, ___, ___, 45,......
What is 27, 33, 39.
400
Find the first three terms of the arithmetic series in which Sn = 120, n = 8, and An = 36.
What is -6, 0, 6.
400
Find the geometric mean of 810, ___, ___, ___, 10.
What is 270, 90, 30
400
Find:
What is -87,381.
400
Expand (3x + 2y)^5.
500
Joe averaged 123 total pins per game in his bowling league this season. He is taking bowling lessons and hopes to bring his average up by 8 pins each new season. Write an equation to represent the nth term of the sequence.
What is An = 8n + 115.
500
Find:
What is 1053.
500
Sarah receives a joke in an E-mail that asks her to forward it on to four of her friends. She forwards it, then each of her friends forwards it to four of their friends, and so on. If the pattern continues, how many people will receive the E-mail on the ninth round of forwarding?
What is 262,144.
500
Find A1 for the geometric series in which Sn = 4118, An = 128, r = 2/3.
What is 1458.
500
Find the 6th term of (c + d)^10.
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