Question
Download Solution PDFअनुक्रम 25, -125, 625, -3125, …… का nवाँ पद क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
यदि a1, a2, …., an एक गुणोत्तर श्रेणी है तो सामान्य पद निम्न द्वारा दिया जाता है: an = a × rn - 1 जहाँ a पहला पद है और r सार्व अनुपात है।
गणना:
दिया हुआ: 25, -125, 625, -3125, …….
यहाँ, पहला पद a = 25 और सार्व अनुपात r = -5।
जैसा कि हम जानते हैं कि, यदि a1, a2, …., an एक GP है तो सामान्य पद निम्न द्वारा दिया जाता है: an = a × rn - 1 जहाँ a 1ला पद है और r सार्व अनुपात है।
⇒ सामान्य पद है : an = 25 × (-5)n – 1 = (-1)n – 1 × 5n + 1
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