$2$A school is organizing a charity run to raise funds for a local hospital. The run is planned as a series of rounds around a track, with each round being 300 metres. To make the event more challenging and engaging, the organizers decide to increase the distance of each subsequent round by 50 metres. For example, the second round will be 350 metres, the third round will be 400 metres and so on. The total number of rounds planned is 10. 2025_CBSE_Mathematics_Set_Region1_Subset_Set1_Q36_SECTION-E__p12_12

2025_CBSE_Mathematics_Set_Region1_Subset_Set1_Q36_SECTION-E__p12_12

Based on the information given above, answer the following questions :

(i)Write the fourth, fifth and sixth term of the Arithmetic Progression so formed.(ii)Determine the distance of the $\displaystyle 8^{\text {th }}$ round.(iii)(a) Find the total distance run after completing all 10 rounds. Case Study - 2

Mathematics · Arithmetic Progressions