Find the indicated term of the arithmetic sequence.
-Given an arithmetic sequence with a16 = 19 and a10 = 7, find a4.
A)-3
B)-11
C)-5
D)2

Question

Quizplus · Accepted Answer

The common difference (d) can be found using the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n-1)d. From a16 = 19 and a10 = 7, we have 19 = a_1 + 15d and 7 = a_1 + 9d. Solving these equations simultaneously, we find d = 2 and a_1 = -11. Then, a4 = a_1 + 3d = -11 + 3(2) = -5.

Find the Indicated Term of the Arithmetic Sequence