Aditya is a fitness freak and a great athlete. He always wants to make his nation proud by winning medals and prizes in athletic activities.
An upcoming activity for athletes was going to be organised by Railways. Aditya wants to participate in the \(200 \ m\) race. He can currently run that distance in \(50\) seconds. But he wants to increase his speed, so to do it in \(26\) seconds. With each day of practice, it takes him \(2\) seconds less.
(i) Aditya wants to makes his best time as \(26 \ sec\). In how many days will he achieve his target?
(ii) What is the difference between the time taken by Aditya on the \(6\text{th}\) day and the \(9\text{th}\) day?
(iii) Which term of the arithmetic progression \(4\), \(13\), \(22\), \(31\) .... will be \(108\) more than its \(20\text{th term}\)?