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pav-90 [236]
2 years ago
13

Solve the equation. 3(x + 6) = 39 7 13 19 –5

Mathematics
1 answer:
polet [3.4K]2 years ago
5 0

       ➣ Assignment: \bold{Solve \ Equation: \ 3\left(x+6\right)=39}

↔↔↔↔↔↔↔↔

       ➣ Answer: \boxed{\bold{x=7}}

↔↔↔↔↔↔↔↔

Explanation: ↓↓↓↓↓

↔↔↔↔↔↔↔↔

       ➤ [ Step One ] Divide Both Sides By 3

\bold{\frac{3\left(x+6\right)}{3}=\frac{39}{3}}

       ➤ [ Step Two ] Simplify

\bold{x+6=13}

       ➤ [ Step Three ] Subtract 6 From Both Sides

\bold{x+6-6=13-6}

       ➤ [ Step Four ] Simplify

\bold{x=7}

↔↔↔↔↔↔↔↔

\bold{\rightarrow Mordancy \leftarrow}

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Part 1. Please show work. Please assist me with these math problems. ​
Vitek1552 [10]

Answer: 1) 2, 3, 4, 9, 32, 279, 8896, 2481705, 22077238784

              2) 2,490,924

              3) Neither

<u>Step-by-step explanation:</u>

S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784

\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\

Neither

Not arithmetic because the difference between each of the terms is not the same.            

                        S₂ - S₁          S₃ - S₂           S₄ - S₃      

                      3 - 2 = 1       4 - 3 = 1          9 - 4 = 5

Not geometric because the ratios between each of the terms is not the same.                

                       \dfrac{S_2}{S_1}=\dfrac{S_3}{S_2}\qquad \rightarrow \dfrac{3}{2}=\dfrac{4}{3}\qquad \rightarrow \text{cross multiply to get}: 9\neq 8

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