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What is the sum of the first 10 natural numbers?

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Question: What is the sum of the first 10 natural numbers?

Options:

  1. 45
  2. 50
  3. 55
  4. 60

Correct Answer: 45

Solution:

The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 10, the sum is 10(10 + 1)/2 = 10 * 11 / 2 = 55.

What is the sum of the first 10 natural numbers?

Practice Questions

Q1
What is the sum of the first 10 natural numbers?
  1. 45
  2. 50
  3. 55
  4. 60

Questions & Step-by-Step Solutions

What is the sum of the first 10 natural numbers?
  • Step 1: Understand that natural numbers start from 1 and go up (1, 2, 3, ...).
  • Step 2: Identify the first 10 natural numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
  • Step 3: Use the formula for the sum of the first n natural numbers, which is n(n + 1)/2.
  • Step 4: Substitute n with 10 in the formula: 10(10 + 1)/2.
  • Step 5: Calculate 10 + 1, which equals 11.
  • Step 6: Multiply 10 by 11: 10 * 11 = 110.
  • Step 7: Divide 110 by 2: 110 / 2 = 55.
  • Step 8: Conclude that the sum of the first 10 natural numbers is 55.
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