Sequence
Series
Binomial Theorem
Pascals Triangle
Popourri
100
In an arithmetic sequence a1 = 7, d = 4, n = 11, then an = ?
What is 47
100
Find the sum of an arithmetic series if a1 = 17, an = 1035, and n = 16
What is 8416
100
Expand (a + b)^3
What is 1a^3b + 3a^2b + 3ab^2 + 1
100
How do you find the numbers in the next row of pascal's triangle?
Add the 2 above
100
Give the first 10 numbers of Fibonacci Sequence
What is 1 1 2 3 5 8 13 21 34 55
200
In a geometric sequence a1 = 15, r = -3, n = 3, what is an = ?
What is 135
200
Find the sum of a geometric series if a1 = -8, an = -512, r = -2
What is -344
200
Expand (a + b)^6
What is 1a^6 + 6a^5b + 15a^4b^2 +20a^3b^3 + 15a^2b^4 + 6ab^5 + 1b^6
200
What is missing in the line: 1 1 1 1 2 1 1 3 3 1 1 4 ? 4 1
What is 6
200
Create a Fibonacci like sequence
judge will decide
300
In an arithmetic sequence a1 = 12, n = 6, an = -63, what is the common difference?
What is -15
300
Find the sum of a geometric series if a1 = 24, r = 1/2, n = 6
What is 47.25 or 189/4
300
Find the fifth term of (a + 2b)^5
What is 80ab^4
300
What is the next line of pascal's triangle? 1 6 15 20 15 6 1
What is 1 7 21 35 35 21 7 1
300
In a Infinite geometric series, the common ratio needs to be between what 2 numbers?
What is -1 and 1
400
In an arithmetic sequence if a5 = -6, r = 4, what is a8 = ?
What is -384
400
Find the sum of the infinite series if a1 = -62, r = 1/3
What is -93
400
Find the third term of (2x - y)^5
What is 80x^3y^2
400
Expand with pascals triangle ( x - y )^ 4
What is x^4 - 4x^3y + 6x^2y^2 - 4xy^3 + y^4
400
When a series gets closer to a constant we say the series is _____?
What is converging
500
In a geometric sequence a1 = -1024, r = 0.5, n = 12 what is an = ?
What is -0.5
500
Find the sum of infinite series: -1 + -5 + -10 + -15 + -20 + ...
What is DNE
500
Find the fourth term of (3a - 2b)^6
What is 2160a^2b^4
500
What is Pascals first name?
What is Blaise
500
When a series tends to increase or be all over the place, we say the series is _____?
What is diverging
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