What is the 6th term of 256,-128
Answer (1)
-8This is a geometric sequence because each term is multiplied by a common ratio.Step 1: Identify the first term and common ratioFirst term (a) = 256Second term = -128Common ratio (r) = -128 ÷ 256 = -0.5Step 2: Use the formula for the nth term of a geometric sequence:Tₙ = a × rⁿ⁻¹Find the 6th termT₆ = 256 × (-0.5)⁵T₆ = 256 × (-0.03125)T₆ = -8
