2 years ago

QuCSLIUI 10 POILS) If (a, -5) is a solution to the equation 3a = -2b - 7, what is a?

Mathematics

1 answer:

Anna35 [415]2 years ago

3 0

Answer:

a=1

Step-by-step explanation:

all work is shown and pictured

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$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

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We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

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