Question
Download Solution PDFa, a - b, a - 2b, a - 3b,...... శ్రేణిలోని 10వ పదం 20 మరియు 20వ పదం 10 అయితే, శ్రేణి యొక్క xవ పదం కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
a, a - b, a - 2b, a - 3b,...... శ్రేణి యొక్క 10వ పదం 20. 20వ పదం 10.
గణన:
10 వ పదం = a - 9b = 20 --(1)
20 వ పదం = a - 19b = 10 ---(2)
సమీకరణం (2) ను (1) నుండి తీసివేసినప్పుడు:
a - 9b - (a - 19b) = 20 - 10
⇒ a - 9b - a + 19b = 10
⇒ 10 b = 10
⇒ b = 1
సమీకరణం (1) నుండి:
a - 9 (1) = 20
⇒ a = 20 + 9 = 29
ఇప్పుడు, x వ పదం = a - (x - 1)b
⇒ 29 - (x - 1) (1)
⇒ 29 - x + 1 = 30 - x
∴ శ్రేణి యొక్క Xవ పదం 30 - x .
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