Algebra-1

To find the next term of the geometric sequence 4, 16, 64, ..., 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 = 4

a₂ = a₁ * 4 = 4 * 4 = 16

a₃ = a₂ * 4 = 16 * 4 = 64

 

From this pattern, we can see that each term is obtained by multiplying the previous term by 4. So, the formula for the nth term (a_n)...