Question
Download Solution PDFयदि किसी समांतर श्रेढ़ी के pवें पद का p गुना, qवें पद के q गुने के बराबर है (p ≠ q), तो (p + q)वाँ पद क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
मान लीजिए कि समांतर श्रेढ़ी का प्रथम पद 'a' और सार्व अंतर 'd' है।
(p + q)वाँ पद = Tp+q
= a + (p + q - 1)d ......(1)
दिया गया है
p. Tp = q.Tq
⇒ p.[ a + (p -1) d] = q. [ a + (q - 1) d]
⇒ (p - q) [ a + (p + q -1) d] =0
⇒ [ a + (p + q -1) d] =0 (∵ p ≠ q)
⇒Tp+q = 0 ......(1 से)
∴ विकल्प (a) सही है।
Last updated on May 30, 2025
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