Identify each sequence as arithmetic,geometric,or neither
1. -1,3,-9,27
2. 1,2,4,7,11
3. 5,3,1,-1,-3
4. 6,3,3/2,3/4
1. each new term is the result of multiplying the previous term by -3
which makes it geometric, since we have a common ratio of -3
2. I see neither a common ratio, nor a common difference.
3. looks like we have a common difference of -2
4. looks like a term was multiplied by 1/2 to get to the next term, so ....
1. This sequence is geometric because each term is obtained by multiplying the previous term by -3.
2. This sequence is neither arithmetic nor geometric because there is no consistent pattern or rule to obtain each term from the previous term.
3. This sequence is neither arithmetic nor geometric because there is no consistent pattern or rule to obtain each term from the previous term.
4. This sequence is neither arithmetic nor geometric because there is no consistent pattern or rule to obtain each term from the previous term.
To identify each sequence as arithmetic, geometric, or neither, we need to determine the pattern between the terms.
1. -1, 3, -9, 27: This sequence is neither arithmetic nor geometric because there is no constant difference or ratio between the terms. The pattern is that each term is multiplied by -3 to get the next term.
2. 1, 2, 4, 7, 11: This sequence is neither arithmetic nor geometric because there is no constant difference or ratio between the terms. The pattern is that each term is obtained by adding a progressively increasing number (1, 2, 3, 4) to the previous term.
3. 5, 3, 1, -1, -3: This sequence is arithmetic because each term is obtained by subtracting 2 from the previous term. The common difference is -2.
4. 6, 3, 3/2, 3/4: This sequence is geometric because each term is obtained by multiplying the previous term by 1/2. The common ratio is 1/2.