[2](a)Find the nth term of the sequence 5, 8, 11, 14, …

[1](b)Use your formula to find the 10th term.

[2](a)The sequence 2, 5, 10, 17, 26, … has nth term n² + 1. Verify this is correct for n = 4, and find the 8th term.

[2](a)Find the nth term of 7, 11, 15, 19, …

[1](b)Find the 15th term.

[3](a)A sequence starts at 100 and decreases by 10 each term. Find the nth term, and the term number when the sequence first reaches 0.

[2](a)Find the next two terms of the sequence 1, 4, 9, 16, 25, …

[3](a)Find the nth term of the sequence 3, 6, 12, 24, … (a geometric sequence), and hence the 6th term.

[3](a)Find the nth term of 2, 6, 10, 14, …, and hence the 20th term.

[2](a)Find the next two terms of the triangular numbers 1, 3, 6, 10, 15, …

[3](a)A geometric sequence starts 2, 6, 18, 54, … Find the nth term, and hence the 5th term.

[2](a)y is directly proportional to x. When x=3, y=15. Find the formula, and y when x=8.