Question
Download Solution PDFनिर्देश: लुप्त श्रेणी ज्ञात कीजिए।
13, 37, 109, 325, ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
37 - 13 = 24
109 - 37 = 72
325 - 109 = 216
क्रमागत पदों के बीच अंतर 24, 72 और 216 हैं।
ध्यान दें कि प्रत्येक अंतर 24 का गुणज है:
72 = 24 × 3
216 = 24 × 9
अगला अंतर 24 × 27 = 648 होना चाहिए (क्योंकि 3² = 9 और 3³ = 27).
अब, इस अंतर को श्रेणी की अंतिम संख्या में जोड़ें:
325 + 648 = 973
∴ श्रेणी में लुप्त पद 973 है।
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