the explicit formula for aₙ the nth term of the sequence will be:
Step-by-step explanation:
The explicit formula of geometric sequence is of the form:
where a₁ is the first term and r is the common ratio.
We are given:
a₁ = 6
r = 2/3
Putting values in the formula:
So, the explicit formula for aₙ the nth term of the sequence will be:
Keywords: Explicit formula for geometric sequence
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Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
Answer:
I am pretty sure it is 3
Step-by-step explanation:
Answer:
instead of just pointing out the highest speed or one speed, list all the different speeds or increasing/decreasing and the different intervals
ie for minutes 2 to 3, her speed was 30 mph . . . from minutes 6 to 8, her speed was decreasing at a constant rate of -2 mph/min
no 8/9 is not equal 1 because 1 is 9/9.
the question is confusion
