Find the missing terms in the following geometric sequence.
1 answer:
Answer:
Answer: Option d. 36,108 is the correct answer.
Step-by-step explanation:
In this question we have given a sequence of four terms and we know the first and last term.
Now we have to calculate the ratio of the terms so that we can complete the sequence.
We know the formula of the sequence A(n) =
Now we know A(4)=324
A(1) = 12
n = 4
So we the values in the formula
324 =
324 =
r = 3
So the sequence will be 12,36,108,324
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Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is
Taking the first derivative of this with respect to and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of w.r.t
is
And setting this = 0 gives
Eliminating on both sides and solving for
gives us
Plugging this value of into the original equation gives us
This is the maximum value that the function can acquire. The attached graph shows this as correct
