Question

Which equation generates this sequence: 10, 6, 2, -2, -6?

A) n=14−4x
B) n=10−4x
C) n=6−4x
D) n=2−4x

Answer 1

The equation that generates the sequence 10, 6, 2, -2, -6 is n = 14 - 4x.

Step-by-step explanation:

The given sequence is: 10, 6, 2, -2, -6

To generate this sequence, we can use the equation: n = 14 - 4x

Let's plug in the values of x from 1 to 5 and calculate the corresponding values of n:

1. x = 1: n = 14 - 4(1) = 14 - 4 = 10
2. x = 2: n = 14 - 4(2) = 14 - 8 = 6
3. x = 3: n = 14 - 4(3) = 14 - 12 = 2
4. x = 4: n = 14 - 4(4) = 14 - 16 = -2
5. x = 5: n = 14 - 4(5) = 14 - 20 = -6

As we can see, the equation n = 14 - 4x generates the given sequence.