For each of the following sequences,

• list the first 6 terms of the sequence.
• provide an explicit formula describing the n-th term of the sequence.
• describe the sequence using a recurrence relation.

Assume that cach sequence starts at index 0 and that they are defined for all neN.

1(a) {ax} is a geometric sequence with the initial term 8 and the common ratio 2.
1(b) {bk} is an arithmetic sequence with the initial term 0 and the common difference 2.
1(e) {cx} is a sequence where the k-th term is the k-th power of 3 and the initial term is 1.
1(d) {dx} is a sequence where the k-th term is the sum of the first k + 1 positive odd numbers and the initial term is 1.

Problem 2. Prove that {ck} (from 1(c)) is an increasing sequence.