Ask Question
29 June, 02:31

What is the sum of the arithmetic series of odd numbers below?1 + 3 + 5 + ... + 25?

+3
Answers (1)
  1. 29 June, 02:47
    0
    Given from question

    a = 1

    an = 25

    b = a₂ - a = 3 - 1 = 2

    Asked from question

    Sn

    Solution

    The general formula for finding the sum of arithmetic series is

    Sn = n/2 (a + an)

    Because we don't know yet the value of n, we should find it first, with this,

    an = a + d (n - 1)

    25 = 1 + 2 (n - 1)

    25 = 1 + 2n - 2

    25 = 2n - 1

    2n = 24

    n = 12

    After finding the value of x, calculate the sum of series by the formula I mentioned above

    Sn = n/2 (a + an)

    S₁₂ = 12/2 (1 + 25)

    S₁₂ = 6 (26)

    S₁₂ = 156

    The sum of the series is 156
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the sum of the arithmetic series of odd numbers below?1 + 3 + 5 + ... + 25? ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers