Final answer:
To solve this problem, we substitute different values for k and see which option satisfies the given sequence. The option 2k-7 gives the correct sequence of numbers.
Step-by-step explanation:
The subject of this question is Mathematics.
The options given are 2k-13, 8k-13, 2k+13, and 2k-7.
To solve this problem, we need to find the correct expression.
We can substitute different values for k and see which option satisfies the given sequence.
Let's use the sequence given as a reference: 2, 4, 6, 5, 7, 9, 12, 8, 11, 14, 17, 13, 21, 26, 22, 27, 33, 23, 43, 63, 70, 79, 94, 110, 140, 180.
Now, let's substitute k = 1 in each option:
2(1) - 13 = -11 (incorrect)
8(1) - 13 = -5 (incorrect)
2(1) + 13 = 15 (incorrect)
2(1) - 7 = -5 (correct)
From the given sequence, the option 2k-7 gives the correct sequence of numbers.