Can someone please help me find the geometric sequence of
1 answer:
Answer:
Step-by-step explanation:
Step 1. Calculate the common ratio
a₁ = 200
a₂ = 100
a₃ = 40
a₄ = 16
The ratios of consecutive pairs are
a₄/a₃ = 16/40 = 0.4
a₃/a₂ = 40/100 = 0.4
a₂/a₁ = 100/200 = 0.5
I think you have made a typo in your question. The first term should be 250. Then,
a₂/a₁ = 100/250 = 0.4
And all adjacent pairs will have the same common ratio, r = 0.4.
Step 2. Write the formula for the series
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
If a₁ = 250, the formula for the series is
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Step-by-step explanation:
The equation that is given is only for the specific place of that object. To find the velocity, you need to take the derivative of the equation. This will give you:
Now, to find the average velocity of this object, plug in the values given to you. It's between the time interval [1, 2] so these are the two numbers you'll plug into the velocity equation. Finding this average is like finding any other average.
So
Average velocity is 0.5 sec
To find instantaneous velocity just find the velocity at time one. Think about the name "instantaneous velocity," it's the velocity in that <u>instant</u>.
We already found this, so I don't need more work (it's displayed above).
The instantaneous velocity when is 2.5 sec.