Answer:
![f(1)=70](https://tex.z-dn.net/?f=f%281%29%3D70)
![f(n)=f(n-1)+6](https://tex.z-dn.net/?f=f%28n%29%3Df%28n-1%29%2B6)
Step-by-step explanation:
One is given the following function:
![f(n)=64+6n](https://tex.z-dn.net/?f=f%28n%29%3D64%2B6n)
One is asked to evaluate the function for
, substitute
in place of
, and simplify to evaluate:
![f(1)=64+6(1)](https://tex.z-dn.net/?f=f%281%29%3D64%2B6%281%29)
![f(1)=64+6](https://tex.z-dn.net/?f=f%281%29%3D64%2B6)
![f(1)=70](https://tex.z-dn.net/?f=f%281%29%3D70)
A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:
![a_n=a_(_n_-_1_)+d](https://tex.z-dn.net/?f=a_n%3Da_%28_n_-_1_%29%2Bd)
Where (
) is the evaluator term (
) represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,
![a_n=a_(_n_-_1_)+d](https://tex.z-dn.net/?f=a_n%3Da_%28_n_-_1_%29%2Bd)
![a_n=a_(_n_-_1_)+6](https://tex.z-dn.net/?f=a_n%3Da_%28_n_-_1_%29%2B6)
![f(n)=f(n-1)+6](https://tex.z-dn.net/?f=f%28n%29%3Df%28n-1%29%2B6)
Answer: C
please mark brainliest
Answer:
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.
Step-by-step explanation:
im built different
Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
<h3>cosine</h3>
The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
__
<h3>tangent</h3>
The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
_____
<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.