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kvasek [131]
3 years ago
12

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
a_{1}=-2 \\  \\ a_{2}=8 \\  \\ q= \frac{a_{2}}{a_{1}}  \\  \\ q= \frac{8}{-2}=-4 \\  \\ a_{n}=a_{1}*q^{n-1} \\  \\ a_{n}=-2*-4^{n-1}
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Mrs.Anderson bought 4.3 pounds of bananas at 0.80 a pound and 2.1 pounds of grapes at 2.50 a pound. How much money Did Mrs.Ander
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8 0
3 years ago
Solve the equation. show all work.<br><br> 3x - 10 = 5x + 22
inysia [295]
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5 0
4 years ago
it is given that the x intercept and y intercept of a straight line L are 3 and 5 respectively. If L passes through P(k, 10) fin
statuscvo [17]

Answer:

<em>k=-3</em>

Step-by-step explanation:

<u>Equation of a line</u>

The general equation of a line can be written as:

Ax+By=C

The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:

A(3)+B(0)=C

3A=C

Solving for A:

A=C/3

The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:

A(0)+B(5)=C

5B=C

Solving for B:

B=C/5

Replacing into the general equation:

\displaystyle \frac{C}{3}x+\frac{C}{5}y=C

Simplifying by C:

\displaystyle \frac{x}{3}+\frac{y}{5}=1

The point P(k,10) belongs to the line, thus:

\displaystyle \frac{k}{3}+\frac{10}{5}=1

Operating:

\displaystyle \frac{k}{3}+2=1

\displaystyle \frac{k}{3}=-1

Multiplying by 3:

\boxed{k=-3}

7 0
3 years ago
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