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Mathematics

The sum of first 30 odd natural numbers is:

  1. 800

  2. 900

  3. 729

  4. 1249

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Answer

1, 3, 5, 7, ……, 30th term.

The odd natural numbers form an Arithmetic Progression (A.P.) :

a = 1

d = 3 - 1 = 2

n = 30

We know that,

Sn = n2\dfrac{n}{2} [2a + (n - 1)d]

⇒ S30 = 302\dfrac{30}{2} [2(1) + (30 - 1)2]

= 15[2 + (29)2]

= 15[2 + 58]

= 15 × (60)

= 900.

Hence, option 2 is the correct option.

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