Answer:
A and B
Step-by-step explanation:
Given
5, 2, - 1, - 4
The terms have a common difference between consecutive terms, that is
2 - 5 = - 3
- 1 - 2 = - 3
- 4 - (- 1) = - 4 + 1 = - 3
To obtain the next term in the sequence subtract 3 from the previous term
- 4 - 3 = - 7
- 7 - 3 = - 10
- 10 - 3 = - 13
The next 3 terms are - 7, - 10, - 13
Solution is subtract 3 ; - 7, - 10, - 13 → A
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Given the sequence
- 1, 3, - 9, 27
The terms have a common ratio between consecutive terms, that is
3 ÷ - 1 = - 3
- 9 ÷ 3 = - 3
27 ÷ - 9 = - 3
To obtain the next term in the sequence multiply the previous term by - 3
27 × - 3 = - 81
- 81 × - 3 = 243
243 × - 3 = - 729
Solution is multiply by - 3 ; - 81, 243, - 729 → B
