What is r the common ration in the geometic sequence 2, -14, 98, -687

1 answer:

8 0

Answer:

r is -7

Step-by-step explanation:

(I believe that you mistyped and meant that the fourth term in the sequence should be -686)

The easiest way to find the common ratio is to divide the numbers that are adjacent to each other

$\frac{-14}{2} =-7\\\\\frac{98}{-14} =-7\\\\\frac{-686}{98} =-7$

As you can see, when we divide a term by its previous term, we get -7 every time. This is our common ratio.

You might be interested in

maksim [4K]

Answer:

108 yards

Step-by-step explanation:

Let circle A be the circle with the 62 yard diameter

Let circle B be the circle whose diameter we are trying to solve for.

Externally tangent circles are circles which touch each other and share a common external tangent.
Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
85 - 31= 54 yards which is the radius of circle B
To get the diameter: 54 x 2 = 108 yards