Question: Write the following summations in expanded form

1. \(\sum\limits_{i=1}^{5}{3k}\)
2. \(\frac{1}{4}\sum\limits_{m=1}^{4}{{{x}_{m}}}\)
3. \(\sum\limits_{j=4}^{n}{\frac{j}{j+1}}\)
4. \(\sum\limits_{i=1}^{4}{\frac{{{\left( {{O}_{i}}-{{E}_{i}} \right)}^{2}}}{{{E}_{i}}}}\)
5. \(\sum\limits_{j=3}^{7}{{{3}^{j-1}}}\)
6. \(\frac{1}{5}\sum\limits_{k=1}^{5}{{{x}_{k}}}\)
7. \[2\sum\limits_{t=2}^{m}{\frac{t-1}{t+1}}\]
8. \(\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{\left( {{x}_{i}}-\bar{x} \right)}^{2}}}\)
9. \(\sum\limits_{i=1}^{5}{2{{l}^{2}}}\)
10. \(\sum\limits_{k=1}^{3}{{{5}^{k+1}}}\)
11. \(\sum\limits_{i=1}^{k+1}{\frac{3\left( i-2 \right)}{i+2}}\)

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