can someone help me with this? find the next three terms?

-100, -40, -16, -6.4,......

Try dividing -100 and all the other terms by 2.5 successively.

can someone help me with this? find the next three terms?

-100, -40, -16, -6.4,......

-40/-100 = .40
-16/-40 = .40
-6.4/-16 = .40
-x/6.4 = .40 making x = 2.56

I bet you can get the next three now.

To find the next three terms in the given sequence, we need to observe the pattern in the sequence and then continue it.

Upon analyzing the given sequence, we notice that each term is obtained by multiplying the previous term by -0.4. We can express this relationship as follows:

Term_(n+1) = Term_n * -0.4

Using this pattern, we can continue the sequence:

Term_1 = -100
Term_2 = Term_1 * -0.4 = -100 * -0.4 = 40
Term_3 = Term_2 * -0.4 = 40 * -0.4 = -16
Term_4 = Term_3 * -0.4 = -16 * -0.4 = 6.4

Thus, the next three terms in the given sequence are:
Term_5 = Term_4 * -0.4 = 6.4 * -0.4 = -2.56
Term_6 = Term_5 * -0.4 = -2.56 * -0.4 = 1.024
Term_7 = Term_6 * -0.4 = 1.024 * -0.4 = -0.4104

Therefore, the next three terms in the sequence are -2.56, 1.024, and -0.4104.