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Which expression represents the sum of the first n terms of an arithmetic series

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Question: Which expression represents the sum of the first n terms of an arithmetic series with first term a and common difference d?

Options:

  1. n/2 * (2a + (n-1)d)
  2. n * (a + d)
  3. n * a + d
  4. n/2 * (a + d)

Correct Answer: n/2 * (2a + (n-1)d)

Solution: 

The formula for the sum of the first n terms is S_n = n/2 * (2a + (n-1)d).

Which expression represents the sum of the first n terms of an arithmetic series

Practice Questions

Q1
Which expression represents the sum of the first n terms of an arithmetic series with first term a and common difference d?
  1. n/2 * (2a + (n-1)d)
  2. n * (a + d)
  3. n * a + d
  4. n/2 * (a + d)

Questions & Step-by-Step Solutions

Which expression represents the sum of the first n terms of an arithmetic series with first term a and common difference d?
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