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How can you develop a function to calculate sum of n even integers starting from a given even integer?
Wiki User
∙ 10y ago
Suppose the starting integer is 2a.
Then the sum is S = (2a+0) + (2a+2) + (2a+4) + ... + [2a+2*(n-1)]
= 2a*n + 0 + 2 + 4 + ... + 2*(n-1)
= 2an + 2*[0+ 1 + 2 + ... + (n-1)]
=2an + 2*(n-1)*n/2
=2an + (n-1)*n
= n*(2a + n - 1)
Wiki User
∙ 10y ago
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