How many terms are there in the series 9, 12, 15, 18, ......., 87 ?

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  1. 25
  2. 26 
  3. 27 
  4. 28

Answer (Detailed Solution Below)

Option 3 : 27 
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Detailed Solution

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Given:

9, 12, 15, 18, ......., 87

Concept used:

an = a + (n - 1)d

a = first term = 9

d = difference = 12 - 9 = 3

Calculation:

an = 87

⇒ 87 = 9 + (n - 1)3

⇒ 78 = 3n - 3

⇒ 3n = 81

⇒ n = 27

∴ There are a total of 27 terms.

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