Here are the first three patterns in a sequence made from counters. [Figure showing three patterns of counters: Pattern 1 (8 counters), Pattern 2 (12 counters), Pattern 3 (16 counters)] The 4th term in a different sequence is 26. This sequence is linear and the 8th term is 2.

1. (a)(i)Complete the table for the patterns in this sequence. Pattern number | 1 | 2 | 3 | 4 | 5 Number of counters | 8 | 12 | 16[1]
2. (a)(ii)Find an expression, in terms of n, for the number of counters in Pattern n.[2]
3. (a)(iii)Jamal has 150 counters. He uses these counters to make the largest pattern possible, Pattern p. Find the value of p.[2]
4. (b)(i)Find the first term of this sequence.[2]
5. (b)(ii)Find an expression, in terms of n, for the nth term of this sequence.[2]

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