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In an arithmetic progression, if the sum of the first 10 terms is 100, what is the first term if the common difference is 2?

Practice Questions

1 question
Q1
In an arithmetic progression, if the sum of the first 10 terms is 100, what is the first term if the common difference is 2?
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-step Solutions

1 item
Q
Q: In an arithmetic progression, if the sum of the first 10 terms is 100, what is the first term if the common difference is 2?
Solution: Using the formula S_n = n/2 * (2a + (n-1)d), we have 100 = 10/2 * (2a + 9*2). Solving gives a = 10.
Steps: 0

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