Sum of Series to Infinity (I)

Use this exercise to explore the sum of the series shown below.[br](The sum to the first n terms has been provided without proof, you may want to work out and verify yourself)[br][br]1. Move the slider to n = 20, and state the sum of the first 20 terms of the series.[br]2. Change the maximum number of terms to sum from 20 to 1000[br]3. Now find the sum of the series to 100 terms, then to 500 terms, and then to 1000 terms.[br]4. What do you notice about the sum of the series as n increases from 20 to 1000.[br]5. What can you conclude about sum of the series if n is an infinitely large number? [br] (ie sum the series to infinity)

Information: Sum of Series to Infinity (I)