Question

The largest number in a series of consecutive even integers is w. If the number of integers is n, what is the smallest number in terms of w and n?A. w– 2nB. w–n + 1C. w– 2(n– 1)D. n– 6 + wE. w – n/2

Answer 1

C. w–2(n–1)

Explanation:

One way to think of this is that the smallest is the n-th term of an arithmetic sequence with w as the first term and -2 as the common difference. The formula for the n-th term is ...

an = a1 + d(n -1)

Filling in the given values, we have ...

smallest number = w -2(n -1) . . . . . matches choice C