What does it mean by fine a binomial expression for n in general terms of a?

User Icon for Steve Steve answered
9 years ago

no idea. You need to provide a little more context. Also a little better grammar.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find a binomial expression for n in general terms of a, we need to understand what a binomial expression represents.

A binomial expression is a mathematical expression with two unlike terms, connected by either addition or subtraction.

In general terms of a, a binomial expression can be written as:
n = a + b

Here, 'a' represents one term of the expression, and 'b' represents the other term. The terms can be variables, constants, or a combination of both.

So, when you are asked to find a binomial expression for n in general terms of a, you are being asked to express n in the form of a binomial expression involving a. The specific value or nature of the terms will depend on the context of the problem or equation you are working on.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find a binomial expression for n in general terms of a, you would need to understand the concept of binomial expression and how it relates to variables like n and a.

In mathematics, a binomial expression is an algebraic expression with two terms that are added or subtracted. It is usually in the form of (a + b)^n, where "a" and "b" are variables and "n" is a positive integer.

To express a binomial expression for n in general terms of a, you need to expand the expression (a + b)^n using the binomial theorem. The binomial theorem states that:

(a + b)^n = C(n,0) * a^n * b^0 + C(n,1) * a^(n-1) * b^1 + C(n,2) * a^(n-2) * b^2 + ... + C(n,n) * a^0 * b^n

In this expansion, C(n,r) denotes the binomial coefficient, which is given by the formula:

C(n,r) = n! / (r!(n-r)!)

Here, n! represents n factorial, which is the product of all positive integers from 1 to n.

Now, to find a binomial expression for n in terms of a, you need to apply the binomial theorem to the expression (a + b)^n. Substitute "a" with "a" and "b" with "1", as the expression becomes (a + 1)^n.

Then, apply the binomial theorem to expand (a + 1)^n, which will give you the binomial expression for n in terms of a:

(a + 1)^n = C(n,0) * a^n * 1^0 + C(n,1) * a^(n-1) * 1^1 + C(n,2) * a^(n-2) * 1^2 + ... + C(n,n) * a^0 * 1^n

Simplifying this expression will give you the binomial expression for n in general terms of a.