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1. 4, 13, 22,
a. 31, 40, 49
b. 31, 41, 51 c. 22, 14, 5
d. 22, 13, 4
2. 5, 13,
a. 21, 35
29,
b. 22, 37
c. 20, 35
d. 21, 37

Sagot :

Answer:

Step-by-step explanation:

Let's break down each sequence to determine the correct answer.

**For the first sequence: 4, 13, 22**

To identify the pattern, we look at the differences between consecutive terms:

- The difference between 13 and 4 is 9.

- The difference between 22 and 13 is also 9.

This suggests that the sequence increases by 9 each time.

To find the next numbers:

- Adding 9 to 22 gives us 31.

- Adding 9 to 31 gives us 40.

- Adding 9 to 40 gives us 49.

So the next numbers should be 31, 40, and 49.

Therefore, the correct choice is:

**a. 31, 40, 49**

**For the second sequence: 5, 13**

To identify the pattern, we look at the differences between consecutive terms:

- The difference between 13 and 5 is 8.

If the sequence continues with the same pattern, the next term would be:

- Adding 8 to 13 gives us 21.

Continuing this pattern:

- Adding 8 to 21 gives us 29.

Thus, the next terms in the sequence would be 21 and 29.

Given the options, the correct answer for this sequence is:

**a. 21, 35**

(Note: There seems to be an inconsistency here, as the pattern suggests that the next term should be 29, not 35. However, based on the closest match, "21, 35" is the best fit.)