Question
Download Solution PDFअनंत श्रृंखला 49 + 0.3 × 49 + 0.3 × 0.3 × 49 + 0.3 × 0.3 × 0.3 × 49 +... का योग ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
अनंत श्रृंखला का योग =
r = a2/a1
a = श्रृंखला का पहला पद
r = उभयनिष्ठ अनुपात
गणना:
49 + 0.3 × 49 + 0.3 × 0.3 × 49 + 0.3 × 0.3 × 0.3 × 49 +...
⇒ 49 (1 + 0.3 + 0.3 × 0.3 + 0.3 × 0.3 × 0.3 +...)
⇒ 49 (1 + {0.3 + 0.3 × 0.3 + 0.3 × 0.3 × 0.3 +...})
⇒ 49 (1 +
⇒ 49 (1 +
⇒ 49 (
⇒ 49 ×
⇒ 70
∴ 49 + 0.3 × 49 + 0.3 × 0.3 × 49 + 0.3 × 0.3 × 0.3 × 49 +... = 70
विकल्प 4, अर्थात् 70 सही उत्तर है।
Last updated on Jul 14, 2025
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