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लगाउनुहोस्:

In a continuous series, if [tex]\bar{X} = 15 + a[/tex] and [tex]2fx = 420 + 28a[/tex], find the number of terms (N).

Sagot :

GinnyAnswer
अवश्य! यहाँ विवरण सहित चरण दर चरण समाधान प्रस्तुत छ।

हामीलाई जानकारी दिइएको छ कि समीकरण [tex]$(\bar{X}) = 15 + a$[/tex] र [tex]$2 f x = 420 + 28a$[/tex] हो। यसको मद्दतले हामीलाई श्रृंखलाका संख्या (श्रृंखला) को संख्या (N) पत्ता लगाउनु छ।

1. चरण 1: समीकरणहरू विश्लेषण गर्नुहोस्
- पहिलो समीकरणमा [tex]$mean (\bar{X}) = 15 + a$[/tex] छ।
- दोस्रो समीकरणमा [tex]$2f x = 420 + 28a$[/tex] छ।

2. चरण 2: [tex]$f x$[/tex] बराबर हुने समीकरणलाई सरल गर्नुहोस्
- दोस्रो समीकरणलाई [tex]$2$[/tex] को भाग द्वारा विभाजित गरीन्छ: [tex]$f x = \frac{420 + 28a}{2}$[/tex] [tex]$\implies f x = 210 + 14a$[/tex]

यसबाट हामीले [tex]$2 f x = 420 + 28a$[/tex] मा f x को मान पायौं।

3. चरण 3: श्रृंखला संख्या (N) को लागि समाधान गर्नुहोस्
- यहाँ [tex]$2 (f x)$[/tex] को सम्पूर्ण श्रृंखलाको संख्या (N) मानिन्छ: [tex]$2 (210 + 14a)$[/tex] [tex]$\implies N = 2210 + 214a$[/tex]
- थप रूपमा: [tex]$N = 420 + 28a$[/tex]

4. अन्तिम रूपमा, श्रृंखला संख्या (N) को मान पत्तो लगाउनुहोस्
- [tex]$N = 420 + 28a$[/tex]

तसर्थ, श्रृंखलाको संख्या (N) [tex]$420 + 28a$[/tex] हो।
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