Answer :
Sure! Let's look at how to find the missing terms in each sequence.
Sequence a: 13, 12, ..., 21, 45, 56, 67, 78
1. Let's first identify the pattern. Looking at some of the numbers we have, it appears that we start at 13, then decrease to 12, and jump to 21.
2. From 21 to the other given numbers (45, 56, 67, 78), we see a pattern of adding 11 each time. So, it seems like we should follow this pattern between known consecutive numbers.
3. Between 12 and 21, instead of continuing the sequence from 13 to 12, let's try to maintain the continuity or the next immediate pattern step here. If we continue, it seems logical to fill in the missing number as 21.
Thus, the completed part of this sequence becomes: 13, 12, 21, 32.
Sequence b: -8, ..., 1, 7
1. For this sequence, we need to find the pattern of numbers. We start at -8 and end at 1, and the known next number is 7.
2. The difference (or increment) from -8 to 1 indicates a more gradual pattern of sequential increments or small equal steps to reach 7.
3. By equally distributing the steps between -8 and 1, we can fill in the intermediary numbers, thus reflecting the increase pattern.
4. We find that the missing steps are -4, 0, and 4, forming a sequence with constant addition to each term.
Thus, the completed sequence becomes: -8, -4, 0, 4, 7.
These steps provide the missing terms for each sequence while maintaining a logical flow and pattern in them.
Sequence a: 13, 12, ..., 21, 45, 56, 67, 78
1. Let's first identify the pattern. Looking at some of the numbers we have, it appears that we start at 13, then decrease to 12, and jump to 21.
2. From 21 to the other given numbers (45, 56, 67, 78), we see a pattern of adding 11 each time. So, it seems like we should follow this pattern between known consecutive numbers.
3. Between 12 and 21, instead of continuing the sequence from 13 to 12, let's try to maintain the continuity or the next immediate pattern step here. If we continue, it seems logical to fill in the missing number as 21.
Thus, the completed part of this sequence becomes: 13, 12, 21, 32.
Sequence b: -8, ..., 1, 7
1. For this sequence, we need to find the pattern of numbers. We start at -8 and end at 1, and the known next number is 7.
2. The difference (or increment) from -8 to 1 indicates a more gradual pattern of sequential increments or small equal steps to reach 7.
3. By equally distributing the steps between -8 and 1, we can fill in the intermediary numbers, thus reflecting the increase pattern.
4. We find that the missing steps are -4, 0, and 4, forming a sequence with constant addition to each term.
Thus, the completed sequence becomes: -8, -4, 0, 4, 7.
These steps provide the missing terms for each sequence while maintaining a logical flow and pattern in them.
