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Answer:
1.00 + [(n - 1) × 0.20]
or
0.80 + [n × 0.20]
Step-by-step explanation:
week 1: 1.00
week 2: 1.20
week 3: 1.40
we could rewrite this as:
week 1: 1.00 + [0 × 0.20]
week 2: 1.00 + [1 × 0.20]
week 3: 1.00 + [2 × 0.20]
we can write this overall as:
week __ : 1.00 + [x × 0.20]
> x being the amount of weeks that have passed since week 1
but, we need to express this as in terms of nth, so, we need to figure out how the week is related to the x value
each week, we subtract 1 from the week number [to account for week 1]
so, we can write this as: 1.00 + [(n - 1) × 0.20]
or, we can backtrack from the first week, and start our counting at 0.80:
0.80 + [n × 0.20]
we can test this out:
(week 1)
1.00 + [(n - 1) × 0.20]
1.00 + [(1 - 1) × 0.20]
1.00 + [0 × 0.20]
1.00
or...
(week 1)
0.80 + [n × 0.20]
0.80 + [1 × 0.20]
0.80 + 0.20
= 1.00
So, nth week should be expressed as either:
1.00 + [(n - 1) × 0.20] or
0.80 + [n × 0.20]
(the second one is a little bit more simplified, but it depends on how you're supposed to write it)
hope this helps!!