Lesson Worksheet: General Term in the Binomial Theorem Mathematics
In this worksheet, we will practice finding a specific term and the coefficient of a specific term inside a binomial expansion without the need to fully expand the series.
The terms of the expansion of are arranged according to the descending powers of . Given that , find the value of .
If the coefficient of the third term in the expansion of is , determine the middle term in the expansion.
Consider the expansion of , where is positive. Find the values of , , and given that , , and .
- A, ,
- B, ,
- C, ,
- D, ,
Consider the binomial expansion of in ascending powers of . When , one of the terms in the expansion is equal to twice its following term. Find the position of these two terms.
Consider the expansion of , where is a positive constant. Determine the values of and , given that the ratio between the coefficients of and is equal to and that the ratio between the coefficients of and is equal to .