Respuesta :
Answer:
times 2
Step-by-step explanation:
0.41*2=0.82
0.82*2=1.64
divide by 2...pattern is 3.28,1.64,0.82,0.41
Another pattern with the same fourth term is one where to get the next term in the sequence we multiply the previous one by -2, and the first term is -0.41,
Analyzing the given pattern.
We have the pattern:
0.41, 0.82, 1.64, 3.28
Is ratter easy to see that it is a geometric sequence, such that each term is twice the previous term:
- 0.82 = 2*0.41
- 1.64 = 2*0.81
- 3.28 = 2*1.64
Now we just want to make another pattern that has the same fourth term, so we can play with the given pattern.
Suppose we start with -0.41, and instead of by 2, we multiply each time by -2, then we get:
- a₁ = -0.41
- a₂ = (-2)*(-0.41) =0.82
- a₃ = (-2)*(0.82) = -1.64
- a₄ = (-2)*(-1.64) = 3.28
And so on, so we just found another pattern that has the same fourth term, but behaves differently.
If you want to learn more about sequences, you can read:
https://brainly.com/question/9300199