To determine the pattern in the given sequence and find the missing number, let's look at the differences between consecutive terms:
56 - 63 = -7
49 - 56 = -7
42 - 49 = -7
We can observe that the differences between consecutive terms are constant and equal to -7. Therefore, we can find the next term by subtracting 7 from the last term in the sequence:
42 - 7 = 35
Hence, the missing number in the sequence is 35.
Let's go through each option to see which one matches the pattern:
A) 40 - This option is incorrect because it does not follow the pattern of subtracting 7 from the previous term.
B) 37 - This option is incorrect because it does not follow the pattern of subtracting 7 from the previous term.
C) 35 - This option is correct because it follows the pattern of subtracting 7 from the previous term.
D) 33 - This option is incorrect because it does not follow the pattern of subtracting 7 from the previous term.
Therefore, the correct answer is option C) 35.