The first three terms of a GP of positive terms are x-3, x + 2 and 2x + 4. Find
(a) the value of x,
(b) the value of the fifth term.

I NEED ASAP PLEASE ANSWER ;(( I WILL MARK YOU BRAINLIEST IF YOU ANSWER IT CORRECTLY

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Step-by-step explanation:

We are dealing with a geometrical sequence

The first 3 terms are:

● x-3

● x + 2

● 2x + 4

We need to find how the sequence evolves

Divide the 3rd term by the 2nd one to find the coefficient we are multiplying by the get new terms

● 2x+4/x+2

● 2(x+2)/x+2

● 2

So to get a new term we must multiply the one before by 2

Therefore x+2 is the double of x-3

● x+2 = 2(x-3)

● x+2 = 2x - 6

Substract x from both sides

● x +2 - x = 2x - 6 - x

● 2 = x - 6

Add 6 to both sides

● 2 + 6 = x -6 +6

● x = 8

So the value of x is 8

The terms then are

● x-3 = 8-3 = 5

● x + 2 = 8 + 2 = 10

● 2x + 4 = 2×8+4 = 20

The first 3 terms are 5,10 and 20

Let's find the fifth term

Multiply the third term by 2 to get the fourth one, and multiply the fourth one by 2 to get the fifth one.

● 20 × 2 = 40

● 40 × 2 = 80

The fifth terms is 80

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24