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3 years ago

The sum to infinity of a geometric sequence is twice the first term. What is the common ratio?

Mathematics

1 answer:

Dovator [93]3 years ago

6 0

Answer:

The constant factor between consecutive terms of a geometric sequence is called the common ratio.

Example:

To find the common ratio , find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.

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3 years ago

16 + x = 22<br> Please help

Hatshy [7]

Answer:

Step-by-step explanation:

All you have to do is subtract 16 from both sides!

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3 years ago

Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

Fiesta28 [93]

Answer:

$m = -\frac{1}{2}$

$y\ intercept = -1$

$y = -\frac{1}{2}x -1$

Step-by-step explanation:

Given

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,-1)$

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-1-0}{0 - (-2)}$

$m = \frac{-1}{0 +2}$

$m = -\frac{1}{2}$

The y intercept is when $x = 0$

So,

$y\ intercept = -1$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives

$y = -\frac{1}{2}(x - (-2)) + 0$

$y = -\frac{1}{2}(x - (-2))$

$y = -\frac{1}{2}(x +2)$

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<em>See attachment for graph</em>

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3 years ago

Read 2 more answers

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The area of this rectangle:

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Answer:

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