Find the sum of the first 56 positive multiples of 4.
Question
Find the sum of the first 56 positive multiples of 4.
Solution
Sure, to find the sum of the first 56 positive multiples of 4, we can use the formula for the sum of an arithmetic series.
The formula is: S = n/2 * (a + l)
Where: S is the sum of the series, n is the number of terms (in this case, 56), a is the first term (in this case, 4 because 41 = 4), l is the last term (in this case, 456 = 224).
So, substituting these values into the formula, we get:
S = 56/2 * (4 + 224) = 28 * 228 = 6384
So, the sum of the first 56 positive multiples of 4 is 6384.
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