Answer
${c_1} = 2.7$, ${c_2} = 2.72$, ${c_3} = 2.718$, ${c_4} = 2.7183$.
Work Step by Step
${\rm{e}}$ to 10 decimal place is given by 2.7182818285.
So, the first four terms of $\left\{ {{c_n}} \right\}$ are
${c_1} = 2.7$, ${c_2} = 2.72$, ${c_3} = 2.718$, ${c_4} = 2.7183$.