0
To calculate an approximate value for, say 99.55, you could first rewrite it as
1005*(1-0.005)5
and then use the binomial expansion of the first three terms of (1-0.005)5 to get a pretty good approximation - accurate to 1.2 parts in a million!
You can calculate the first three terms without a computer if you know your basic times tables.
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∙ 11y ago
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What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
What is The expansion of a binomial that involves a coefficient found by combinations?
Binomial Theorum
What is a binomial coefficient?
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
What is meant by the first two non-zero terms in an binomial expansion?
The first two terms in a binomial expansion that aren't 0
What does an binomial expansion do?
Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.
What is the relationship between the binomial expansion and binomial distribution?
First i will explain the binomial expansion
What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
What is The expansion of a binomial that involves a coefficient found by combinations?
Binomial Theorum
Validity of binomial expansion for n less than 0?
The binomial expansion is valid for n less than 1.
What is binomial expansion?
Sounds pretty sexy, eh? See link. http://en.wikipedia.org/wiki/Binomial_expansion
What is a binomial coefficient?
A binomial coefficient is a coefficient of any of the terms in the expansion of the binomial (x+y)^n.
What is meant by the first two non-zero terms in an binomial expansion?
The first two terms in a binomial expansion that aren't 0
The expansion of a binomial that involves a coefficient found by combinations. The expansion will contain the same number of terms as the exponent of the original binomial. For each term the exponents?
Not true. The expansion will have one more term.
What does an binomial expansion do?
Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What does pascals triangle relate the coefficients to?
Expansion of the Binomial a+b
What are the applications of pascal's triangle?
For binomial expansions. (When you have to multiply out many brackets, binomial expansion speeds things up greatly).
