Question

The function q(n) = 2n^2 - 8n and five consecutive integer values of n determine the following sequence: -6, 0, ___, 24, 42 Which of the following provides the missing value in the sequence?

A. q(-3)
B. q(1)
C. q

Answer 1

The missing value in the sequence can be found by substituting the given values of n into the function q(n) = 2n^2 - 8n.

Step-by-step explanation:

The missing value in the sequence can be found by substituting the given values of n into the function q(n) = 2n^2 - 8n. Let's calculate the value of q(n) for each of the given values of n:

1. For n = -6, q(n) = 2(-6)^2 - 8(-6) = 72 + 48 = 120.
2. For n = 0, q(n) = 2(0)^2 - 8(0) = 0.
3. For n = 24, q(n) = 2(24)^2 - 8(24) = 1152 - 192 = 960.
4. For n = 42, q(n) = 2(42)^2 - 8(42) = 3528 - 336 = 3192.

Now, let's calculate the value of q(n) for the missing value in the sequence:

For the missing value, we have q(n) = 2n^2 - 8n = 2(n)^2 - 8(n) = 2(1)^2 - 8(1) = -6.

Therefore, the missing value in the sequence is -6.