Excerise no 5.1 1) In which of the following situations, does the list of number involved makes as airthmatic progessions and why ? A) the taxi fare after each km when the fare is RS 15 for the first km and RS 8 for each additional km Answer It can be observed that Taxi fare for 1st km = 15 Taxi fare for first 2nd km = 15+8 = 23 taki fare for first 3rd km = 23+8 = 31 Taki fare for first 4 km =31+8 = 39 Clearly 15, 23, 31, 39 form an A.P. because every term is 8 more than preceding term. B) the amount of air present in the cylinder when a vaccum pump remove 1/4 À of the air remaining in the cylinder at a time Answer Let the initial volume of air in a cylinder by V litres . In each stock the vaccum pump remove À 1/4 À of air remaining in the cylinder at a time . In other words after every Stoke only 1- 1/4 = 3/4 Part of air will remain Therefore volume will be V, 3V/4 , (3V/4 )², (3V/4 )³.... Clearly it can be observed tha
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