-5, 20, -80, 320, ... is a geometric
sequence.
What is the explicit rule

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~

this would be 35. 35 + 5 = 40. you take the known constant and subtract by the answer of the equation and you get y.

well, if you graph the linear equation using intercepts or other methods, and the line is straight, then the equation is linear