Answer:
The Formula is: Aτ = Aτ-₁ / 3
Step-by-step explanation:
Initial Amount (in Week 1) = 2
Next Amount (in Week 2) = 2/3
Amount in Week 3 = 2/3 ÷ 3 = 2/3 × 1/3 = 2/9
Amount in Week 4 = 2/9 ÷ 3 = 2/9 × 1/3 = 2/27
You're to find a formula that gives the amount after a number of weeks; where
Amount = A and Weeks or Time in Weeks = t
A formula implies a general means of solving for the amount in any given week.
That formula is derived thus:
A₁ = 2 A₂ = 2/3 A₃ = A₂/3 A₄ = A₃/3
Summarizing,
Let t = the subscripts of the A's, hence t = time in weeks
The Formula is: Aτ = Aτ-₁ / 3
where τ is a Greek letter used to represent English letter t
The subscript t-1 represents the period or week before the desired or current period
Asubscriptt-1 represents the amount in that previous week. So to get the amount in the current or desired week, simply divide this figure by 3.
KUDOS.
