जर a, a - b, a - 2b, a - 3b,...... क्रमिकेचे 10वे पद 20 असेल आणि 20वे पद 10 असेल, तर क्रमिकेचे xवे पद काढा.

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  1. 10 - x
  2. 20 - x
  3. 29 - x
  4. 30 - x

Answer (Detailed Solution Below)

Option 4 : 30 - x
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दिलेले आहे​:

a, a - b, a - 2b, a - 3b,...... क्रमिकेचे 10वे पद 20 आणि 20वे पद 10 आहे.

गणना:

10वे पद = a - 9b = 20    --(1)

20वे पद = a - 19b = 10   ---(2)

समीकरण (1) मधून समीकरण (2) वजा केल्यास:

a - 9b - (a - 19b) = 20 - 10

⇒ a - 9b - a + 19b = 10

⇒ 10b = 10

⇒ b = 1

समीकरण (1) वरून:

a - 9 (1) = 20

⇒ a = 20 + 9 = 29

आता, xवे पद = a - (x - 1)b

⇒ 29 - (x - 1) (1) 

⇒ 29 - x + 1 = 30 - x

∴ क्रमिकेचे xवे पद 30 - x आहे.

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