JEE Advanced Mathematics question
In a sequence of terms the first terms are in AP whose common difference is 2, and the last terms are in GP whose common ratio is 0.5. If the middle terms of the AP and GP are equal then the middle term of the sequence is
Answer: (A)
Solution
The sequence has terms, so its middle term is the th, call it . This term is the **last** term of the AP and the **first** term of the GP (both blocks have terms and overlap in exactly this term).
- Middle term of the AP (its th term) is steps before : . - Middle
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