Final answer:
To calculate the second term, add -9 to the first term of -33, resulting in -42. Subsequent terms are based on increasing the amount added, creating different sequence patterns depending on the specified increase in option (a) -7, (b) 9, (c) -33, or (d) 42.
Step-by-step explanation:
To calculate the second term, we start with the first term -33 and add -9. So the second term would be -33 + (-9) = -42. To find each additional term, we increase the amount added by the given values: a. -7, b. 9, c. -33, d. 42. Let's calculate the third term.
-42 + (-7) = -49
Now you can continue the pattern to find the fourth term and so on, by adding the corresponding value each time.
To find the second term in the sequence, we add -9 to the first term of -33. Using the rule for adding two negative numbers, the second term becomes -33 + (-9), which equals -42. Subsequent terms are calculated by increasing the amount added by a certain value each time. If we follow options a through d for adding subsequent amounts:
- For option (a), increasing the amount added by -7 would make the third term -42 + (-9-7) = -58.
- For (b), increasing the amount by 9 would make the third term -42 + (-9+9) = -42.
- For (c), increasing the amount by -33 would make the third term -42 + (-9-33) = -84.
- For (d), increasing the amount by 42 would make the third term -42 + (-9+42) = -9.
Thus, each option dictates a different pattern for the sequence going forward.