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Fantom [35]
2 years ago
5

Consider the given function of an arithmetic sequence. f(n) = -5n + 8

Mathematics
1 answer:
Goshia [24]2 years ago
8 0

Answer:

f(9) = -37

Step-by-step explanation:

f(n) = -5n + 8

f(9) = -5(9) + 8

f(9) = -45 + 8

f(9) = -37

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Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
6 0
3 years ago
ANSWER QUICK AND I WILL MAKE YOU BRAINLIEST
alekssr [168]

Answer:

The width of the window should be 7.6\ ft and the height of the window should be 3.8\ ft

Step-by-step explanation:

we know that

The circumference of a semicircle (window) is equal to

C=\pi r

we have that

C=12\ ft

\pi=3.14

substitute and solve for r

12=(3.14)r

r=12/3.14=3.8\ ft

so

the width of the window is equal to the diameter of the semicircle

so

The width of the window should be 3.8*2=7.6\ ft and the height of the window should be 3.8\ ft

4 0
3 years ago
Need Help ASAP algebra 2​
Anastasy [175]

Answer:

a = √10

Step-by-step explanation:

a² + b² = c²

a² + 9² = (√91)²

a² + 81 = 91

a² = 10

a = √10

hope this helps :)

7 0
3 years ago
Read 2 more answers
Which situation is represented by the equation?
zaharov [31]
<span>Jill has $30 and Maddie has $60. Jill saves $4 per week and Maddie saves $2 per week. How long will it be before Jill and Maddie have the same amount of money?</span>
4 0
3 years ago
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What function is vertically stretched by a factor of 3 and translated 4 units right from the parent function
Neporo4naja [7]
<span>The <u>correct answer</u> is:

B) 3log</span>₅<span>(x-4).

Explanation<span>:

To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.

To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.

In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>
4 0
2 years ago
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