101k views
2 votes
3.

Consecutive odd numbers starting at
1 are added together. Their sum is
400. How many numbers were
added?

2 Answers

4 votes

Answer:

Explanation:

3. Consecutive odd numbers starting at 1 are added together. Their sum is 400. How-example-1
User Jaryl
by
5.0k points
5 votes

Answer:

20

Explanation:

Sn = (n/2)(a1 + a1 + d(n-1)), where S = sum, a1 = first term, n = number of terms, d = common difference

400 = (n/2)(1 + 1 + 2(n - 1))

400 = (n/2)(2 + 2n - 2)

400 = (n/2)(2n

400 = n2

20 = n

Twenty numbers are in the set.

User Layton
by
5.3k points