40. Exemplar example problem I

1. The sum of the first three terms of an AP is \(33\). If the product of the first and the third term exceeds the second term by \(29\), find the A.P.

The three consecutive terms are , and .

 

 

2. The sum of four consecutive numbers in an AP is \(32\) and the ratio of the product of the first and the last terms to the product of the two middle terms is \(7 : 15\). Find the numbers.