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.

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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

answer: the answer is c.

step-by-step explanation:

she’s dividing 1/3 of the flour into 2 jars.

hope this : )

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step-by-step explanation: