JEE Main 2023
Sequences & Series
Sequences and Series
Easy
Question
Let be the rth term of an A.P. whose first term is a and common difference is d. If for some positive integers m, n, then a - d equals
Options
Solution
1. Key Concept: The General Term of an Arithmetic Progression (A.P.)
An Arithmetic Progression (A.P.) is a sequence of numbers where the difference between consecutive terms is constant. This constant difference is known as the common difference, denoted by . If the first term of an A.P. is , then the -th term, denoted by , can be found using the formula: This formula is fundamental for solving problems involving the terms of an A.P.
2. Setting up the Equations from Given Information
We are provided with two crucial pieces of information:
- The -th term of the A.