Question
Download Solution PDF300 మరియు 1000 మధ్య ఎన్ని సంఖ్యలు 7చే నిశ్శేషంగా భాగించబడతాయి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడిన షరతు:
300 మరియు 1000 మధ్య 7చే నిశ్శేషంగా భాగించబడే సంఖ్యలు.
కాన్సెప్ట్:
అంకశ్రేఢి
an = a + (n - 1)d
గణన (లెక్కింపు):
300 మరియు 1000 మధ్యలో 7చే భాగించబడే మొదటి సంఖ్య = 301
అదే విధంగా: 301, 308, 315, 322...........994
పై శ్రేణి అంకశ్రేఢిని రూపొందిస్తున్నాయి,
తొలి సంఖ్య a = 301, సామాన్య భేదం d = 308 - 301 = 7 మరియు చివరి పదం (an) = 994
⇒ an = a + (n - 1)d
⇒ 994 = 301 + (n - 1)7
⇒ (994 - 301)/7 = n - 1
⇒ 693/7 + 1 = n
⇒ 99 + 1 = n
⇒ n = 100
∴ 300 మరియు 1000 మధ్య 7చే నిశ్శేషంగా భంగించబడే సంఖ్యలు 100.
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