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KCC's Quizzes: Sum of Consecutive Integers

Let’s consider positive integer numbers n and k. The number of consecutive terms starting from n. The series is then: n, n+1, n+2, ..., n+(k‐1). 

Please answer the questions below:

1. If n=100 and k=100, what is the sum of the terms in that series? 

2. By reversing the problem: what must be the number of terms of the series starting from n=120 and with a sum=8970? 

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[edited by: emassa at 7:43 PM (GMT -5) on 3 Jan 2023]
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