किसी AP के (p + q)वें और (p – q)वें पदों का योगफल बराबर है?

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NDA (Held On: 21 Apr 2019) Maths Previous Year paper
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  1. (2p)वें पद के
  2. (2q)वें पद के
  3. pवें पद के दुगुने के
  4. qवें पद के दुगुने के

Answer (Detailed Solution Below)

Option 3 : pवें पद के दुगुने के
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

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धारणा:

AP का nवां पद निम्न द्वारा दिया गया है: Tn = a + (n - 1) × d, जहाँ a = पहला पद और d = सार्व अंतर।

गणना:

जैसा कि हम जानते हैं कि, AP का nवां पद निम्न द्वारा दिया गया है: Tn = a + (n - 1) × d, जहाँ a = पहला पद और d = सार्व अंतर।

माना कि a पहला पद है और d सार्व अंतर है।

     ...1)

     ...2)

(1) और (2) को जोड़कर हम प्राप्त करते हैं

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