Question
Download Solution PDFபின்வரும் வரிசையில் முதல் 25 உறுப்புகளின் கூட்டுத்தொகை என்ன?
7, 11, 15, 19, 23, …
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
வரிசை= 7, 11, 15, 19, 23, …
பயன்படுத்திய சூத்திரம்:
Sn = n / 2 × {2a + (n - 1) × d}; இதில் n= உறுப்புகளின் எண்ணிக்கை, d = பொது வேறுபாடு, a = முதல் உறுப்பு, Sn = n உறுப்புகளின் கூட்டுத்தொகை; d = (a2 - a1);a2 =வரிசையின் இரண்டாவது உறுப்பு, a1 = வரிசையின் முதல் உறுப்பு
கணக்கீடு:
மேலே உள்ள சூத்திரங்களைப் பயன்படுத்தி, d = 4 ஐப் பெறுகிறோம்
⇒ S25 = 25 / 2 × {2 × 7 + (25 - 1) × 4}
⇒ S25 = 55 × 25
⇒ S25 = 1375
25 உறுப்புகளின் தேவையான கூட்டுத்தொகை = 1375
எனவே சரியான விடை 1375 ஆகும்.
Last updated on Jul 19, 2025
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