Calculators & Converters
    AP - Arithmetic Progression
    First Term :

    Difference :

    Number of Terms :

    AP Sum :

     
    nth Term :




    Notes
    1. Insert this widget code anywhere inside the body tag
    2. Use the code as it is for proper working.
    share
    feedback
    calculator
    info
    history
    </>
    loading
    HISTORY




    What is the Sum of First 100 Positive Integers which are Divisible by 3?

    getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 100 positive integers which are divisible by 3.
    15150 is a sum of number series by applying the values of input parameters in the formula.

    How to Find the Sum of First 100 Positive Integers which are Divisible by 3?

    The below workout with step by step calculation shows how to find what is the sum of first 100 positive integers which are divisible by 3 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 3, 6, 9, 12, 15, 18, 21, .  .  .  .  , 300.
    The first term a = 3
    The common difference d = 3
    Total number of terms n = 100

    step 2 apply the input parameter values in the AP formula
    Sum = n/2 x (a + Tn)
    = 100/2 x (3 + 300)
    = (100 x 303)/ 2
    = 30300/2
    3 + 6 + 9 + 12 + 15 + 18 + 21 + .  .  .  .   + 300 = 15150

    Therefore, 15150 is the sum of first 100 positive integers which are divisible by 3.

    getcalc.com Calculators
    ask
    ask