(Math Quiz 10 – CT) In the expansion ({left( {{rm{0,2; + ;0,8}}} right)^{rm{5}}}), the fourth term is:

  • Question:

    In the expansion \({\left( {{\rm{0.2\; + \;0,8}}} \right)^{\rm{5}}}\), the fourth term is:

    Reference explanation:

    Correct Answer: EASY

    The general term in the above expansion is

    \({T_{k + 1}} = C_5^k. {\left( {0,2} \right)^{5 – k}}. {\left( {0,8} \right)^k} \)

    So the fourth term is

    \({T_4} = C_5^3. {\left( {0,2} \right)^2}. {\left( {0.8} \right)^3} = 0.2028\).


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