THE ALGEBRA OF SUMMATION NOTATION
... The "i=" part underneath the summation sign tells you which number to first plug into the given expression. The number on top of the summation sign tells you the last number to plug into the given expression. You always increase by one at each successive step. For example, ...
... The "i=" part underneath the summation sign tells you which number to first plug into the given expression. The number on top of the summation sign tells you the last number to plug into the given expression. You always increase by one at each successive step. For example, ...
Algebraic factors of b − 1 and b + 1 — more than you might expect
... 57 − 1 would have to be have to be removed first. Then we would partition the set of primes {11, 71, 211, 631, 4201, 85280581} into two subsets with nearly equal products. Later we will explain a way to do this which does not require noticing that 57 − 1 must be removed. ...
... 57 − 1 would have to be have to be removed first. Then we would partition the set of primes {11, 71, 211, 631, 4201, 85280581} into two subsets with nearly equal products. Later we will explain a way to do this which does not require noticing that 57 − 1 must be removed. ...
Equivalent Expressions
... For Von’s expression enter into the third column L + W + L + W. For Charlie’s expression enter into the fourth column 2(L + W). We set a table starting at 10 for L with increments of 10 and starting at 3 for W with increments of 8. The numbers located in the first two columns are each substituted in ...
... For Von’s expression enter into the third column L + W + L + W. For Charlie’s expression enter into the fourth column 2(L + W). We set a table starting at 10 for L with increments of 10 and starting at 3 for W with increments of 8. The numbers located in the first two columns are each substituted in ...
10 Exponential and Logarithmic Functions
... is increasing by p% per year or an investment may grow by p% per year. When the quantity is increasing by the rate r (as a decimal) for every unit of time, then a = 1 + r, so that the model can be written as P (t) = P0 (1 + r)t . A special case of exponential growth that you are sure to run into is ...
... is increasing by p% per year or an investment may grow by p% per year. When the quantity is increasing by the rate r (as a decimal) for every unit of time, then a = 1 + r, so that the model can be written as P (t) = P0 (1 + r)t . A special case of exponential growth that you are sure to run into is ...
