Solve the problem.
-Find the 100th term of the following arithmetic sequence: 2, -2, -6, . . .
A)-394
B)-390
C)-398
D)-402

Question

Quizplus · Accepted Answer

The common difference (d) is -4 (subtracting 2 from -2, or -2 from -6). The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d. Here, a_1 = 2, n = 100, and d = -4. Plugging these values in gives a_100 = 2 + (100-1)(-4) = 2 - 396 = -394.

Solve the Problem. -Find the 100th Term of the Following Arithmetic Sequence: 2