Question
Download Solution PDFk का मान ज्ञात कीजिये यदि,
13 + 23 + ....+ k3 = 44100
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
13 + 23 + ....+ k3 = 44100
प्रयुक्त सूत्र:
13 + 23 + ....+ k3 = [k(k + 1)/2]2
गणना:
13 + 23 + ....+ k3 = 44100
सूत्र के अनुसार
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
विकल्प (1) लेते हैं,
k = 20
⇒ 20(20 + 1)
⇒ 20 × 21 = 420
∴ विकल्प (1) सही है, k = 20 शर्त k(k + 1) = 420 को संतुष्ट करता है।
Last updated on Jun 23, 2025
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