Partial Sums of Series

Practice Questions

Pre-Calculus › Partial Sums of Series

Questions

4

1

For the sequence

$\cdot$

Determine $\sum_{i=1}^{6}a_i$ .

2

Simplify the sum.

$\small 1+3+5+...+(2n-1)$

3

In case you are not familiar with summation notation, note that: $\sum_{i=1}^{3}(\frac{1}{2})^{i}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}$

What is the value of $\sum_{i=0}^{3}\left(\frac{1}{2}\right)^{i}$ ?

4

In case you are not familiar with summation notation, note that: $\sum_{i=1}^{3}\frac{1}{2}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}$

Given the series above, what is the value of $\sum_{i=1}^{6}\frac{1}{2}$ ?

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