Algebra-1

To find the 5th term of the geometric sequence -2, -8, -32, -128, ..., we can observe that each term is obtained by multiplying the previous term by -4.

 

Let's denote the first term as a₁. Then we have:

 

a₁ = -2

a₂ = a₁ * (-4) = -2 * (-4) = 8

a₃ = a₂ * (-4) = 8 * (-4) = -32

a₄ = a₃ * (-4) = -32 * (-4) = 128

 

From this pattern, we can see that each term is obtained by multiplying the previous term by -4. So, the formu...