Question

Identify the rule in each sequence (1 & 2 in sentence form only) and extend the sequence with three more terms

1. 1, 3/2, 2, 5/2, 3... __, __, __
2. 1, 4/3, 5/3, 2, 7/3... __, __, __
3. 3/2, 2, 5/2, 3, 7/2... __, __, __
4. 1, 4, 16, 19, 76... __, __, __


Note: In number 3 and 4, the rule may be written in sentence form or in terms of n, wherein n = 1, 2, 3, 4, 5...

Answer 1

steps below

Explanation:

1. 1 + 1/2*(n-1) : 3, 7/2, 4, 9/2

2. 1 + 1/3*(n-1): 7/3, 8/3, 9/3, 10/3

3. 3/2 + 1/2*(n-1): 4, 9/2, 5

4. 1, 4, 16, 19, 76...79, 316, 319, 1276 ...