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in Arithmetic Progression by (44.3k points)
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समान्तर श्रेणी 8, 14, 20, 26,… का कौन – सा पद 41 वें पद से 72 अधिक होगा?

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दी गयी श्रेणी, 

8, 14, 20, 26,…

माना इस श्रेणी का nवाँ पद 41वें पद से 72 अधिक है। 

अतः an – a41 = 72

⇒ [a + (n – 1)d] – [a + 40d] = 72

⇒ a + nd – d – a – 40d = 72

⇒ nd – 41d = 72

⇒ n × 6 – 41 × 6 = 72

⇒ 6n = 72 + 246

⇒ 6n = 318 ⇒ n = 318/6

⇒ n = 53

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