Question

The first three terms of a sequence are given. Round to the nearest thousandth (if

necessary).
36, 12, 4, ...
Find the 6th term.

Answer 1

Since a₁ = 36 and d = 1/3 the formula for this geometric sequence is aₙ = 36(1/3)ⁿ⁻¹ which means a₆ = 36 * 1/3⁵ = 0.148.