To solve the problems in this image, you need to find the sum of each sequence. Let's go through each one step by step:

1. $35 + (-12) + 29 + 26$

• $35 + (-12) = 23$
• $23 + 29 = 52$
• $52 + 26 = 78$
• Sum = 78

2. $-34 + (-64) + (-94) + (-12)$

• $-34 + (-64) = -98$
• $-98 + (-94) = -192$
• $-192 + (-12) = -204$
• Sum = -204

3. $-80 + (-40) + (-50) + (-60)$

• $-80 + (-40) = -120$
• $-120 + (-50) = -170$
• $-170 + (-60) = -230$
• Sum = -230

4. $9 + 14 + 19 + 24$

• $9 + 14 = 23$
• $23 + 19 = 42$
• $42 + 24 = 66$
• Sum = 66

5. $-7 + (-9) + (-11) + (-13)$

• $-7 + (-9) = -16$
• $-16 + (-11) = -27$
• $-27 + (-13) = -40$
• Sum = -40

These are the sums for each sequence.

Would you like a deeper explanation of any step?

Here are 5 related questions you might find useful:

1. What happens when you add two negative numbers?
2. How does the associative property of addition apply to these sequences?
3. What are some strategies for quickly summing sequences of numbers?
4. How would the answers change if you introduced subtraction instead of addition?
5. How does the concept of absolute value help in understanding the sums of negative numbers?

Tip: When adding a series of numbers, grouping positive and negative numbers separately before combining them can simplify the calculation.