Sequences & Series
Sequences and Series
Grade 11
Question:
<p>MSSO55 14. The number of terms common to the two A-P.'s 3, 7, 11, w+ 407 and 2, 9, 16, , 709 is 2 3 24. The sum to 10 terms of the series eed 14242" 143° 43" we iste [EE (Main) 2023] [JEE (Main) 2020]</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 $504$.
Correct Answer: 504