SOLUTION: Find the sum a + (a + 1) + (a + 2) + ... + (a + n - 1) in terms of a and n. Part (b): Find all pairs of positive integers (a,n) such that n>=2 and a + (a + 1) + (a + 2) + ...

Question 1035504: Find the sum
a + (a + 1) + (a + 2) + ... + (a + n - 1)
in terms of a and n.
Part (b): Find all pairs of positive integers (a,n) such that n>=2 and
a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100.
note: >= means greater than or equal to.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Find the sum
a + (a + 1) + (a + 2) + ... + (a + n - 1)
in terms of a and n.
Part (b): Find all pairs of positive integers (a,n) such that n>=2 and
a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100.
note: >= means greater than or equal to.
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Learn about Arithmetic progressions and about the formula for the sum of arithmetic progression,
for example, from this lesson Arithmetic progressions.

Then apply it to your arithmetic progression.

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