Lesson: General Term in the Binomial Theorem Mathematics

Students will be able to

• recall the formula for a general term in a binomial expansion, ,
• use the formula for a general term in a binomial expansion, , to find a specific term (or its coefficient) for
  • a given exponent ,
  • the highest or lowest power of in the expansion,
  • the middle term(s) in the expansion,
  • a given position when terms are arranged by ascending or descending powers of ,
  • a specified coefficient,
  • two or more terms with the same coefficient as each other,
• understand the relationship between consecutive terms of a binomial expansion,
• use the relationship between consecutive terms in a binomial expansion (and their coefficients) to find
  • the ratio between two terms,
  • the largest or smallest term,
• find an unknown in a binomial when given information about one or more specific terms.