Question

what is the 6th term of (2+x)^10 is​

Answer 1

SOLUTION

TO DETERMINE

$\displaystyle \sf{ \: The \: 6th \: term \: of \: \: {(2 + x)}^{10} }$

EVALUATION

Here the given Binomial expansion is

$\displaystyle \sf{ {(2 + x)}^{10} }$

Now the 6th term of the expansion

$\displaystyle \sf{ = t_{6}}$

$\displaystyle \sf{ = t_{5 + 1}}$

$\displaystyle \sf{ = {}^{10}C_5 \: {2}^{10 - 5} {x}^{5} }$

$\displaystyle \sf{ = {}^{10}C_5 \: {2}^{5} \: {x}^{5} }$

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