The equation that represents the amount saved is T(n) = 3 * (2^n), and the total amount saved in 5 weeks is $186
The statement is given as:
raise $2 to the number of weeks he has been working, multiply it by 3,
Let the number of weeks be n.
So, we have:
T(n) = 3 * (2^n)
For week 1 to 5, we have:
T(1) = 3 * (2^1) = 6
T(2) = 3 * (2^2) = 12
T(3) = 3 * (2^3) = 24
T(4) = 3 * (2^4) = 48
T(4) = 3 * (2^5) = 96
The sum is then calculated as:
Sum = 6 + 12 + 24 + 48 + 96
Evaluate the sum
Sum = 186
Hence, the total amount saved in 5 weeks is $186
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