The sum of the series

Question:

The sum of the series

$2 \cdot{ }^{20} \mathrm{C}_{0}+5 \cdot{ }^{20} \mathrm{C}_{1}+8 \cdot{ }^{20} \mathrm{C}_{2}+11 .{ }^{20} \mathrm{C}_{3}+\ldots+62 . \cdot{ }^{20} \mathrm{C}_{20}$

is equal to:

  1. $2^{24}$

  2. $2^{25}$

  3. $2^{26}$

  4. $2^{23}$


Correct Option: , 2

Solution:

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