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STEMGeeks
1MPublished via Ecency
Looking At Some ACT Math Preparation Questions
Looking At Some ACT Math Preparation Questions
Taking a look at some ACT math practice questions.
19
mes
SciFi Multiverse
3M
Theorem 2: Series of Sums is equal to Sum of Series
Theorem 2: Series of Sums is equal to Sum of Series
In this video, I go over Theorem 2, which states that we can move a constant out of the sum of a series as well as add or subtract series individually. These follow from the Limit Laws of Sequences, and
30
mes
SciFi Multiverse
3M
Theorem 1 and the Test for the Divergence of Infinite Series
Theorem 1 and the Test for the Divergence of Infinite Series
In this video, I go over Theorem 1, which states that the terms of a convergent series approach zero. Conversely, if the terms don't approach zero, the series diverges, hence providing a useful test for
mes
SciFi Multiverse
3M
Telescoping Sum: All the terms of this series cancel out except for the first and last term
Telescoping Sum: All the terms of this series cancel out except for the first and last term
In this video, I go over an infinite series in which arises an example of the famous telescoping sum such that all the terms of the series cancel except for the first and last term. The telescoping sum
mes
SciFi Multiverse
3M
Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1
Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1
In this video, I show that the infinite series xn = x0 + x1 + x2 + ... is just a geometric series, and converges if the absolute value of x is less than 1. By common convention, x0 = 1, so the first term
mes
SciFi Multiverse
3M
Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series
Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series
In this video, I go over an example of converting the number 2.3171717... (with infinite repeating 17) into a fraction by writing the repeating 17s as an infinite geometric series with common ratio 1/100,
mes
SciFi Multiverse
3M
Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)
Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)
In this video, I go over the geometric series, which is the sum a + a r + a r^2 + ..., and show that if the absolute value of the common ratio r is less than 1, then the sum is just the first term divided
mes
SciFi Multiverse
9M
Vortex Math Doubling Patterns: 1248751, 3636, 9999
Vortex Math Doubling Patterns: 1248751, 3636, 9999
In this video I show the patterns that arise when we continuously double and take the vortex sum of numbers in the base 10 system. When doubling from 1, we get the 1248751 pattern; doubling from 3 yields
mes
SciFi Multiverse
9M
Vortex Math is Based on the Modulo Multiplication Identity
Vortex Math is Based on the Modulo Multiplication Identity
In this video, I go over modular arithmetic and show that it is essentially the same as the "vortex math" that I have been describing. Modular arithmetic is most commonly used in daily life via
mes
MES Science
9M
Modular Arithmetic = Vortex Math
Modular Arithmetic = Vortex Math
In this video, I go over modular arithmetic and show that it is essentially the same as the "vortex math" that I have been describing. Modular arithmetic is most commonly used in daily life via
mes
SciFi Multiverse
10M
Vortex Math is Based on the Modulo Multiplication Identity
Vortex Math is Based on the Modulo Multiplication Identity
In this video I show that the previous result of "multiplying a number and its vortex sum yields the same vortex sum" can be written in its equivalent modulo multiplication identity. Since we
mes
SciFi Multiverse
10M
Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum
Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum
In this video I show that multiplying a number or its vortex sum (summing digits until a single digit is obtained) yields the exact same vortex sum. This is the cause of nearly all of the amazing vortex
mes
MES Science
10M
Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum
Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum
In this video I show that multiplying a number or its vortex sum (summing digits until a single digit is obtained) yields the exact same vortex sum. This is the cause of nearly all of the amazing vortex
mes
SciFi Multiverse
10M
Using Base 10 to Calculate Vortex Sum of Different Number Systems
Using Base 10 to Calculate Vortex Sum of Different Number Systems
In this video I show that the vortex digit sum (summing the digits until we obtain 1 digit) for any base number system can be obtained quickly by using the default Base 10 Modulo function available in
mes
MES Science
10M
Using Base 10 to Calculate Vortex Sum of Different Number Systems
Using Base 10 to Calculate Vortex Sum of Different Number Systems
In this video I show that the vortex digit sum (summing the digits until we obtain 1 digit) for any base number system can be obtained quickly by using the default Base 10 Modulo function available in
mes
SciFi Multiverse
10M
Modulo Operation – Vortex Digit Sum is Equal to the Mod (base - 1)
Modulo Operation – Vortex Digit Sum is Equal to the Mod (base - 1)
In this video I go over the modulo operation which returns the remainder of a division between two numbers. For example 100 mod 9 = 1 because 100/9 = 99 + 1/9, hence 1 is the remainder. I then prove that
mes
SciFi Multiverse
10M
Vortex Math: Summing Digits of a Number is the Remainder AND Repeating Digit of Division
Vortex Math: Summing Digits of a Number is the Remainder AND Repeating Digit of Division
In this video I show that not only is the vortex sum (summing of digits a number until 1 digit remains) is the remainder when dividing by the largest single digit, but this same number repeats indefinitely
mes
MES Science
10M
Vortex Math: Summing Digits of a Number is the Remainder AND Repeating Digit of Division
Vortex Math: Summing Digits of a Number is the Remainder AND Repeating Digit of Division
49.138962, -123.108138
In this video I show that not only is the vortex sum (summing of digits a number until 1 digit remains) is the remainder when dividing by the largest single digit, but this same number repeats indefinitely
mes
SciFi Multiverse
10M
Vortex Math: Summing the Digits of a Number is just the Remainder
Vortex Math: Summing the Digits of a Number is just the Remainder
In this video I show that the "vortex sum" of a number (summing up the digits until obtaining a single digit is obtained) is just the remainder when dividing the number by 9. I go over a couple
mes
MES Science
10M
Vortex Math: Summing the Digits of a Number is just the Remainder
Vortex Math: Summing the Digits of a Number is just the Remainder
In this video I show that the "vortex sum" of a number (summing up the digits until obtaining a single digit is obtained) is just the remainder when dividing the number by 9. I go over a couple

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