Leonhard euler was able to calculate the exact sum of the -series with : use this fact to find the sum of each series.

What is likely to happen if a new aggregate demand curve moves to the right? prices and output would drop, and the equilibrium point will stay the same. prices would rise, and output would drop in the short run. prices and output would rise, and the equilibrium point will change. prices would rise, and output would drop in the long run.

The authors use the word “backbone” in lines 3 and 39 to indicate that

17 a tourist was planning a trip by car for travelling at some constant speed for 2.5 hours. however, he found that if he increases the speed by 20 km/h he can cover the same distance in 30 minutes less time than it was planned. what was the planned speed of the tourist, in km/h?