Question

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

A(n + 1) = 2 / 3 A(n) for n ≥ 1 and A(1) = 6

Answer 1

Each element is 2/3 times the previous one, so that's a geometric sequence.

6×(2/3)=4, 4×(2/3)=8/3, 8/3×(2/3)=16/9, 16/9×(2/3)=32/27

Answer: 6, 4, 8/3, 16/9, 32/27