The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 8, 32/3...
Find the 6th term.

a₆ ≈ 25.284

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

8 ÷ 6 = ÷ 8 =

This indicates the sequence is geometric with nth term

= a₁

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = , then

a₆ = 6 × = 6 × = ≈ 25.284 ( to the nearest thousandth )

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: