Answer:
Find the third, eighth, and tenth terms of the sequence described by the rule.
A(n) = 6 + (n − 5) 2, please help!
answer choices are:
A.
−2, 0, 2
B.
2, 12, 16
C.
−4, 6, 10
D.
−8, −6, −4
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the answer is B
Step-by-step explanation:
0.72 repeating is the sum of a geometric series with first term 0.72 and common factor 1/100. The sum is given by:
(first term) 0.72 0.72 72
--------------------------- = --------------- = ------------ = ------------
1 - common factor 1 - 1/100 99/100 99
This 72/99 can be reduced to 8/11.
0.72 repeating can be rewritten as the fraction 8/11.
7n -12 = -32 + -3n
I think this is the equation
Recall that the derivative of a function f(x) at a point x = c is given by
By substituting h = x - c, we have the equivalent expression
since if x approaches c, then h = x - c approaches c - c = 0.
The two given limits strongly resemble what we have here, so it's just a matter of identifying the f(x) and c.
For the first limit,
recall that sin(π/3) = √3/2. Then c = π/3 and f(x) = sin(x), and the limit is equal to the derivative of sin(x) at x = π/3. We have
and cos(π/3) = 1/2.
For the second limit,
we observe that e²ˣ = 1 if x = 0. So this limit is the derivative of e²ˣ at x = 0. We have
and 2e⁰ = 2.
Combine like terms: x^3+x^3 = 2x^3
2x^2
-x
-10
-------------
(f+g)(x) = 2x^3 + 2x^2 - x - 10 (answer)
