Ask Question
31 August, 10:55

The sum of the first and 100th terms of an arithmetic series is 101. Find the sum of the first 100 terms.

+1
Answers (1)
  1. 31 August, 12:39
    0
    5050

    Step-by-step explanation:

    The sum of an arithmetic series is the product of the number of terms and the average value of a term. That average value can be found as the average of the first and last terms. Then for (a1 + a100) = 101, the average term is ...

    (a1 + a100) / 2 = 101/2 = 50.5

    Since there are 100 terms, the sum of them is ...

    100 * 50.5 = 5050

    The sum of the first 100 terms is 5050.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The sum of the first and 100th terms of an arithmetic series is 101. Find the sum of the first 100 terms. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers