Question

I need help with two more questions and understanding them

for the first, I believe it may be option A but for the second i'm not entirely sure

Answer 1

A and B

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