General Binomial Term

What is General Binomial Term?

The single formula that produces any one term of the expansion of a plus b to the power n without expanding the rest. The term with index r is n choose r multiplied by a to the power n minus r and b to the power r, and it is the term numbered r plus one. The index r must be a whole number satisfying zero is less than or equal to r is less than or equal to n; a value outside that range means the requested term does not occur in the expansion.

This definition is part of the Series chapter in Cambridge O Level Additional Mathematics.

Concepts related to General Binomial Term

• index versus term number
• term independent of x
• index laws