Question
Download Solution PDFयदि पहला पद 125 है और सार्व अनुपात 2/5 है, तो गुणोत्तर श्रेढ़ी (GP) का चौथा पद क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
यदि a, ar, ar2, ar3,....., arn-1 गुणोत्तर श्रेढ़ी में हैं, तो गुणोत्तर श्रेढ़ी का nवाँ पद निम्न द्वारा दिया जाता है।
Tn = arn-1
दिया गया है:
प्रथम पद (a) = 125
सार्व अनुपात (r) = 2/5
पद (n) = 4वाँ
गणना:
⇒ Tn = arn-1
⇒ T4 = 125 × (2/5)4-1
⇒ T4 = 125 × (2/5)3
⇒ T4 = 125 × (8/125)
⇒ T4 = 8
अतः गुणोत्तर श्रेढ़ी (GP) का चौथा पद '8' है।
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