Consider the series:

Quest 2.1.
Express each of the following sums as a fraction of the form ^a/_b

Quest 2.1.1.
The sum of the first two terms of the series.

Solution

Quest 2.1.2.
The sum of the first three terms of the series.

Solution

Quest 2.1.3.
The sum of the first four terms of the series.

Solution

Quest 2.2.
Make a conjecture about the sum of the first n terms of the given series.

Solution

Quest 2.3.
Use your conjecture to predict the value of the following:

Solution