Algebra-1

To find the 7th term of the geometric sequence 2, -4, 8, -16, ..., we can observe that each term is obtained by multiplying the previous term by -2.

 

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

a₁ = 2

a₂ = a₁ * (-2) = 2 * (-2) = -4

a₃ = a₂ * (-2) = -4 * (-2) = 8

a₄ = a₃ * (-2) = 8 * (-2) = -16

 

From this pattern, we can see that each term is obtained by multiplying the previous term by -2. So, the formula for the nth ter...