Question
Download Solution PDFIf p times the pth term of an AP is equal to q times the qth term (p ≠ q), then what is the (p + q)th term equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let 'a' and 'd' be the first term and common difference of AP
(p + q)th Term = Tp+q
= a + (p + q - 1)......(1)
Given
p. Tp = q.Tp
⇒ 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 ......(From i)
∴ Option (a) is correct
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