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4 years ago

PLEASE HELP!!! PLEASE HURRYYY!!! I'm on timed quiz!!

Mathematics

1 answer:

miss Akunina [59]4 years ago

8 0

the slope is -2 and the y-intercept is 12

Step-by-step explanation:

1. choose two ordered pairs from the table (x1,y1) and (x2,y2).

2. write down the slope formula

3. replace the xs and ys by their values

4. subtract

5. divide

1. to solve for the y intercept, choose any one of the ordered pairs

2. replace the letters by their values

3. multiply

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3 years ago

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Let

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Then

$\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)$

$S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)$

$\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)$

$S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)$

As $N\to\infty$ , the exponential term will converge to zero, so the infinite sum converges to

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