Maths Question:
$\text{Evaluate the first five terms of the sequence whose }{{n}^{th}}\text{ term }{{U}_{n}}\text{ is }{{2}^{n}}+{{n}^{2}}$
Maths Solution:
$\begin{align} & {{U}_{n}}={{2}^{n}}+{{n}^{2}} \\ & {{U}_{1}}={{2}^{1}}+{{1}^{2}}=3 \\ & {{U}_{2}}={{2}^{2}}+{{2}^{2}}=8 \\ & {{U}_{3}}={{2}^{3}}+{{3}^{2}}=17 \\ & {{U}_{4}}={{2}^{4}}+{{4}^{2}}=32 \\ & {{U}_{5}}={{2}^{5}}+{{5}^{2}}=57 \\ & \text{The first five term of the sequence is }3,8,17,32,57 \\\end{align}$
University mathstopic: