Answer :
Answer:
Below
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