Class 10 jkbose math solution chapter 5.1 Question 1 (ii)

This question belongs to class 10 Math jkbose from chapter 5, exercise 5.1 and Question 1 and part second

Question 1. In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?

ii. The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.

Solution: Given: 1/4 air removes when inserting a vacuum pum.

                   Suppose, the total initial air present = 100 (A1)

Now,

         Number of air present after ist vaccum pump= 100 - 1/4 × 100 = 25

           = 100 - 25 = 75 (A2)

           Number of air present after 2nd vaccum pump=75 - 1/4 × 75= 18.75

                          = 75 - 18.75 = 56.25 (A3)

            

                        To check,

 Difference =  A2 - A1

                     = 75 - 100

                      = -25

Difference = A3 - A2

                   = 56.25 - 75

                   = -18.75

Hence, it does not form an AP (Arithmetic Progression) because the difference is not same.