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Solnce55 [7]
3 years ago
7

How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Mathematics
1 answer:
Fantom [35]3 years ago
4 0
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

\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}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
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PLEASE HELP ASAP!!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!!
Stells [14]
The answer to this question is the second graph.

Hope this helps

4 0
3 years ago
What is the solution
In-s [12.5K]
The solution that makes both equations true is 'a', or (2,0), because if you substitute the 2 with the x and the 0 with the y, and solve both equations, you get the same answer. Also, you could try a graphing software, like desmos.
0=-2(2)+4
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4 0
3 years ago
The circumference of a circle is 22 cm.
valkas [14]

\bf \: Circumference \:  of  \: a \:  circle = 2\pi \: r

\implies22 = 2 \times  \dfrac{22}{7}  r

\implies22 =  \dfrac{44}{7}  \times r

\implies \: r =  \dfrac{22 \times 7}{44}

\implies \boxed{ r =  \dfrac{7}{2} }

Now,

\bf \: Area \:  of  \: circle = \pi {r}^{2}

\rightarrow \:  \frac{22}{7}   \times  ({ \frac{7}{2}) }^{2}

\rightarrow \frac{22}{ \cancel7}  \times  \frac{ \cancel{49}}{4}

\rightarrow \: 22 \times  \frac{7}{4}

\rightarrow \: 11 \times  \frac{7}{2}

\rightarrow \frac{77}{2}

\rightarrow \: 38.5 \: cm {}^{2}

Area of rectangle = 38.5 cm².

7 0
3 years ago
What is the area of this triangle
Julli [10]
By the looks of it the hieght is 7 and base is 6 so

A= 1/2(6)(7)
A= 1/2(42)
A= 21
4 0
3 years ago
Every year. Miguel receives $20 for his birthday, plus $1 for each year of his age. Laureen receives $10 for her birthday and $2
sergey [27]

Answer:

NO

Step-by-step explanation: no because Lauren will receive 26 because 10 = (8 x 2) which equals 26 and Migule is 20 + ( 1 x 10) which = 30 so not the same this and simple and cute reason hope it right and helped.

3 0
3 years ago
Read 2 more answers
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