Answer:
A) Sequence: -5, -10, -15, -20, -25, -30, -35, -40 cd = -5
B) Sequence: -1, 2, 5, 8, 11, 14, 17, 20 cd = 3
C) Sequence: 17, 19, 21, 23, 25, 27, 29, 31 cd = 2
D) Sequence: 11, 16, 21, 26, 31 , 36, 41, 46 cd = 5
E) Sequence: -9, -6, -3, 0, 3, 6, 9, 12 cd = 3
Explanation:
A) Sequence: -5, -10, -15, -20, -25
The common difference (cd) - which is the number that we need to add to each term in order to get the next - is -5
and the next three terms are: -30, -35, -40.
B) Sequence: -1, 2, 5, 8, 11,
The common difference is 3, cd = 3
so the next three terms in the sequence are; 14, 17, 20
C) Sequence: 17, 19, 21, 23, 25,
the common difference is 2, cd = 2
so the next three terms in the sequence are: 27, 29, 31
D) Sequence: 11, 16, 21, 26, 31
the common difference is 5, cd = 5
so the next three terms of the sequence are: 36, 41, 46
E) Sequence: -9, -6, -3, 0, 3,
the common difference is 3, cd = 3
so the next three terms in the sequence are: 6, 9, 12