Sequences & Series
Sequences and Series
Grade None
Question:
<p>31. any integer n with 1 <n < 20, letm = 5n. If Sm does not depend onn, thena,is [IIT JEE 2011] Let ABC be an equilateral triangle. A new triangle is formed by joining the middle points of all sides n of the triangle ABC and the same process is repeated infinitely many times. If P is the sum of</p>
Step-by-Step Solution
Key Concept: Look for the progression structure before computing. The right formula usually appears only after the sequence is rewritten cleanly.
Notice that the important step is to identify which progression formula is actually relevant here. A clever move here is to rewrite the given information into a standard form before computing. Now, we invoke the power of the appropriate sequence identity, simplify carefully, and confirm the answer as $4$.
Correct Answer: 4