Calculators & Converters

    What is the Sum of First 75 Odd Numbers?

    Arithmetic Progression (AP) Calculator

    getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 75 odd numbers.
    5625 is a sum of number series by applying the values of input parameters in the formula.

    How to Find the Sum of First 75 Odd Numbers?

    The below workout with step by step calculation shows how to find what is the sum of first 75 odd numbers by applying arithmetic progression. It's one of the easiest methods to quickly find the sum of given number series.
    step 1 Address the formula, input parameters & values.
    Input parameters & values:
    The number series 1, 3, 5, 7, 9, .  .  .  .  , 149.
    The first term a = 1
    The common difference d = 2
    Total number of terms n = 75

    step 2 apply the input parameter values in the AP formula
    Sum = n/2 x (a + Tn)
    = 75/2 x (1 + 149)
    = (75 x 150)/ 2
    = 11250/2
    1 + 3 + 5 + 7 + 9 + .  .  .  .   + 149 = 5625

    Therefore, 5625 is the sum of first 75 odd numbers.

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