Math, asked by Farooqchoudhary, 1 year ago

201+202+203+.............300​

Answers

Answered by Swarup1998
3

Sum of Arithmetic Series

Given : 200 + 201 + .......... + 300

To find : the sum

Solution :

  • Here the given arithmetic series is

  • 200 + 201 + .......... + 300

  • The first term is 200, the common difference is 1 and the nth term (say) is 300

  • Since 300 is the nth term, we can write:
  • 200 + (n - 1) × 1 = 300
  • or, 200 + n - 1 = 300
  • or, n = 101

  • So there are 101 terms in the given Arithmetic series

  • Thus the sum of 101 numbers in the given series is
  • = 101/2 * (first term + last term)
  • = 101/2 * (200 + 300)
  • = 101/2 * 500
  • = 101 * 250
  • = 25250

Answer : 200 + 201 + .......... + 300 = 25250

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