1. Let ak = 2k+1 and bk = (k−1)3 +k+2 for all integers k ≥ 0. Show that the first three terms of these sequences are ide

[answerhappygod]

1. Let ak = 2k+1 and bk = (k−1)3 +k+2
for all integers k ≥ 0. Show that the first three
terms of these sequences are identical but that their fourth terms
differ.
2. Indicate which of the following relationships are true
and which are false. Fully justify the answer.
1. Z+ ⊆ Q
2. R− ⊆ Q
3. Q+ ⊆ Z.
4. Z− ∪ Z+ = Z
5. Q∩R=Q
6. Q∪Z=Q
7. Z+ ∩ R = Z+
8. Z∪Q=Z