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Mathematics

The sum of first 50 natural numbers is:

  1. 1050

  2. 1175

  3. 1225

  4. 1275

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Answer

Sequence : 1, 2, 3, ……, 50.

First term (a) = 1

Common difference (d) = 2 - 1 = 1

By formula,

Sum of n terms = n2[2a+(n1)d]\dfrac{n}{2}[2a + (n - 1)d]

=502×[2×1+(501)×1]=25×[2+49]=25×51=1275.= \dfrac{50}{2} \times [2 \times 1 + (50 - 1) \times 1] \\[1em] = 25 \times [2 + 49] \\[1em] = 25 \times 51 \\[1em] = 1275.

Hence, option 4 is the correct option.

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