Problem:

What is the forecast for the Period 7 using a 3-period weighted moving average technique (use a weight of 3 for last period's value, a weight of 2 for the period before, and a weight of 1 for the period before that), given the following time-series data for six past periods?

Period   1    2     3     4    5    6
Value  136 126 146 148 156 164

i) 126.50

ii) 156.67

iii) 158.67

iv) 148.07

v) 164.00

Solve the problem and show all work.