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nika2105 [10]
3 years ago
5

Determine the explicit formula of the following sequence -3,-18,-108...

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

a_{n} = - 3(6)^{n-1}

Step-by-step explanation:

Note the common ratio r between consecutive terms, that is

r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6

This indicates the sequence is geometric with n th term ( explicit formula )

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = - 3 and r = 6, thus

a_{n} = - 3(6)^{n-1}

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You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books
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2 years ago
One of the angles of a parallelogram is 36° greater than another one. Find the angles of the parallelogram. PLEASE HELP IM DYING
hodyreva [135]
I would help but I need more information help me help you

7 0
3 years ago
3×
In-s [12.5K]

Answer:

1. x = 39.67

2. x = 15

3. x = 49.29

4. x = -12.8

5. x = 96

6. x = 42

7. x = 36

8. x = 0

9. x = 78

Step-by-step explanation:

Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.

1. \dfrac{3x}{7}-2 = 15  

Add 2 to both sides to get rid of -2 on the left side.

\dfrac{3x}{7}-2+(2)=15+(2)///dfrac{3x}{7}=17

Multiply both sides by 7 to get rid of 7 on the left side.

\dfrac{3x}{7}\times 7 = 17\times 7\\\\3x = 119

Divide both sides by 3 to get rid of 3 on the left side.

\dfrac{3x}{3} = \dfrac{119}{3}\\\\x = 39.67

You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.

\dfrac{2x}{5}+1=7

Transpose  1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.

\dfrac{2x}{5}+1=7\\\\\dfrac{2x}{5}=7-1\\\\\dfrac{2x}{5}=6

Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.

\dfrac{2x}{5}=6\\\\2x=6\times 5\\\\2x=30

Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.

2x=30\\\\x=\dfrac{30}{2}\\\\x=15

Let's move on with the rest now.

3.

\dfrac{7x}{15}-1=22\\\\\dfrac{7x}{15}=22+1\\\\\dfrac{7x}{15}=23\\\\7x=23\times15\\\\7x=345\\\\x=\dfrac{345}{7}\\\\x=49.29

4.

\dfrac{5x}{8}+10=2\\\\\dfrac{5x}{8}=2-10\\\\\dfrac{5x}{8}=-8\\\\5x=-8\times8\\\\5x=-64\\\\x=\dfrac{-64}{5}\\\\x=-12.8

5.

\dfrac{x}{6}+4=20\\\\\dfrac{x}{6}=20-4\\\\\dfrac{x}{6}=16\\\\x=16\times6\\\\x=96

6.

\dfrac{x}{3}-4=10\\\\\dfrac{x}{3}=10+4\\\\\dfrac{x}{3}=14\\\\x=3\times14\\\\x=42

7.

\dfrac{x}{6}+2=8\\\\\dfrac{x}{6}=8-2\\\\\dfrac{x}{6}=6\\\\x=6\times6\\\\x=36

8.

\dfrac{x}{9}+8=8\\\\\dfrac{x}{9}=8-8\\\\\dfrac{x}{9}=0\\\\x=0\times9\\\\x=0

9.

\dfrac{x}{6}+7=20\\\\\dfrac{x}{6}=20-7\\\\\dfrac{x}{6}=13\\\\x=13\times6\\\\x=78

6 0
3 years ago
There’s two parts to it who ever can solve it I will give out more points :)
ladessa [460]
This is probably wrong but i think it’s 3,528 hope everyone has a good day
8 0
2 years ago
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