Question
Download Solution PDFThere are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. Find the middle term.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, n = 15; a = 5 and Sum = 390
Applying the sum formula to find the common difference,
⇒ \(390 = \frac{{15}}{2}\left[ {2 \times 5 + 14d} \right] = 15 \times \left( {5 + 7d} \right)\)
⇒ 5 + 7d = 26
⇒ d = 3
∴ The middle term = 8th term = a + 7d = 5 + 21 = 26
Last updated on Jun 19, 2025
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