जर a, b, c, समांतर श्रेणीमध्ये असेल तरः

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ALP CBT 2 Physics and Maths Previous Paper 2 (Held On: 21 Jan 2019 Shift 2)
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  1. 2a = b + c
  2. 2c = a + b
  3. 3b = 2a + 3c
  4. 2b = a + c

Answer (Detailed Solution Below)

Option 4 : 2b = a + c
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वापरलेली संकल्पना:

 a, b, c… आणि वगैरे श्रेणी मालिका असू दे

आपल्याला माहित आहे की सामान्य फरक = b - a, c - b.

अंकगणित प्रगतीत सामान्य फरक समान आहे

b – a = c – b

गणना:

b – a = c – b

⇒ b + b = c + a

⇒ 2b = c + a

⇒ 2b = a + c

∴ a, b, c अंकगणित प्रगतीत आहेत तर 2 b = a + c.

 Alternate Method

AP मध्ये संख्या 1, 2, 3 मानूया

फक्त एका पर्यायाने समीकरण पूर्ण केले

2(2 ) 1 + 3 =so 2b = a + c हा योग्य पर्याय आहे.

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