A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?

Step-by-step explanation:

Given

Required

The geometric sequence

A geometric sequence is represented as:

Replace n with 5

Substitute values for f(5) and r

Open bracket

Make a the subject

So, the explicit function is:

Split

Convert to multiplication

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)