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.

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor.required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)