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  • What is the 10th term from end in expansion <img alt="\left ( 1+x \right )^{30}?" src="http://entrancecorner.oncodecogs.com/gif.latex?%5Cleft%20%28%201&plus;x%20%5Cright%20%29%5E%7B30%7D%3

What is the 10th term from end in expansion \left ( 1+x \right )^{30}?

Option: 1

\binom{30}{10}x^{10}


Option: 2

\binom{30}{10}x^{20}


Option: 3

\binom{30}{9}x^{9}


Option: 4

\binom{30}{9}x^{21}


Answers (1)

best_answer

rth term from end is equal to \left ( n-r+2 \right )th term from begning

 

- wherein

T_{r+1}=T_{n-r+2}

 

 

We can write the binomial as \left ( x+1 \right )^{30} and then find the 10th term of the sequence i.e.\binom{30}{9}(x)^{21}(1)^9= \binom{30}{9}(x)^{21}

Posted by

HARSH KANKARIA

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