The 5th and the 17th terms of an A.P. series are 52 and 184 respectively. Find the common difference of the series.

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ALP CBT 2 Physics and Maths Previous Paper 5 (Held On: 22 Jan 2019 Shift 2)
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  1. 7
  2. 5
  3. 11
  4. 9

Answer (Detailed Solution Below)

Option 3 : 11
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Detailed Solution

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Given:

5th = 52

11th = 184

Formula used:

an = a1 + (n - 1) × d

an = nth number

a1 = 1st number in series

d = difference in number

Calculation:

According to question:

⇒ a1 + (5 - 1) d = 52

⇒ a1 + (17 - 1) d = 184

⇒ a1 + 4d = 52     ---(i)

⇒ a1 + 16d = 184     ---(ii)

On equating both the equation we get

⇒ d = 11

∴ required common difference = 11
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