Find the sum of the series of all multiples of 4, from 1to 999. I don\'t even kn

Question

Find the sum of the series of all multiples of 4, from 1to 999. I don't even know where to start...how would I find the numberof multiples of four between 1 and 999? Here is theequation my class is working with: Sn = n/2(2t1 + (n-1)d) Sn = sum of the series n = number of numbers in the series t1 = first number in series d = common difference Find the sum of the series of all multiples of 4, from 1to 999. I don't even know where to start...how would I find the numberof multiples of four between 1 and 999? Here is theequation my class is working with: Sn = n/2(2t1 + (n-1)d) Sn = sum of the series n = number of numbers in the series t1 = first number in series d = common difference

Explanation / Answer

QuestionDetails: Find the sum of the series of all multiples of 4, from 1to 999. I don't even know where to start...how would I find the numberof multiples of four between 1 and 999? Here is theequation my class is working with: Sn = n/2(2t1 + (n-1)d) Sn = sum of the series n = number of numbers in the series t1 = first number in series d = common difference
series : 4 , 8, ..................................... ,996
   Un = a + (n - 1)b
   996 = 4 + (n - 1) 4
   996 = 4 + 4n - 4 => n = 249
Sn = n/2(2t1 + (n-1)d)
     = 249/ 2 ( 2* 4+ (249-1)*4) = 249/2 (8+992) =124500

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