In each of the following expansions , find the term as stated .

(1) , 5th term

(2) , 10th term

(3) , constant term

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- Feb 15th 2009, 12:49 AMthereddevilsBinomial expansion
In each of the following expansions , find the term as stated .

(1) , 5th term

(2) , 10th term

(3) , constant term - Feb 15th 2009, 01:32 AMearboth
Use the formula:

Keep in mind that you start counting by zero! Thus the 5th term correspond with k = 4.

Therefore the 5th term of

For the last example: A constant term only occurs if the exponents of x and are equal, thus you have to calculate the 4th term with k = 3. Since k is an odd number you get as the constant summand -20. - Feb 15th 2009, 02:38 AMmathaddict
- Feb 15th 2009, 04:22 AMearboth