Question
Download Solution PDF13 + 23 + ....+ k3 = 44100 எனில்,
k என்பதன் மதிப்பைக் கண்டுபிடிக்கவும்
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டுள்ளது:
13 + 23 + ....+ k3 = 44100
பயன்படுத்தப்பட்ட கோட்பாடு:
13 + 23 + ....+ k3 = [k(k + 1)/2]2
கணக்கீடு:
13 + 23 + ....+ k3 = 44100
கோட்பாட்டின் படி,
13 + 23 + ....+ k3 = [k(k + 1)/2]2
⇒ [k(k + 1)/2]2 = 44100
⇒ [k(k + 1)/2] = √44100
⇒ k(k + 1)/2 = 210
⇒ k(k + 1) = 420
விருப்பம் (1)-படி பார்த்தால்,
k = 20
⇒ 20(20 + 1)
⇒ 20 × 21 = 420
∴ விருப்பம் (1) சரியானது, k = 20 என்பது இந்த நிலையை ஒத்துப்போகிறது k(k + 1) = 420.
Last updated on Jun 6, 2025
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