Sequences & Series
Arithmetic Progression (AP)
Grade 11
Question:
<p>15 Let €;, 2, £199 be consecutive terms of an arithmetic progression with common difference d,, EXERCISE - JEE (Main) PYQ and let w,,W2,...,Wj99 be consecutive terms of another arithmetic progression with common difference dz, where d,dz = 10. For each i = 1, 2,...,100, let R; be a rectangle with length ¢;, width</p>
Step-by-Step Solution
Key Concept: Express everything in terms of first term and common difference. That converts a vague-looking progression problem into plain algebra.
Notice that this question is really about the first term and common difference. A clever move here is to parameterize the progression using those two quantities and translate every condition into algebra. Now, we invoke the power of the standard A.P. term and sum formulas, simplify step by step, and confirm the answer as $1.00$.
Correct Answer: 1.00