प्रथम 'n' प्राकृत संख्याओं का भारित समान्तर माध्य ज्ञात कीजिए, जिनका भार संगत संख्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. n

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प्रयुक्त अवधारणा:

1. प्रथम n प्राकृत संख्याओं के वर्गों का योग = 

2. n प्राकृत संख्याओं का योग = 

गणना:

प्रथम n प्राकृत संख्या = 1, 2, 3, ...., n

उनके संगत भार क्रमशः =  1, 2, 3, .... , n

प्रथम 'n' प्राकृत संख्याओं का भारित समान्तर माध्य 

⇒ 

⇒ 

⇒ 

⇒ 

प्रथम 'n' प्राकृत संख्याओं का भारित समान्तर माध्य  है 

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