100 pts PLZ HEL Which recursive formula fits the following pattern? 50, 25, 12.5, 6.25, 3.125...

1.5625

Step-by-step explanation:

Find the ratio (r) between adjacent members: 50,25,12.5,6.25,3.125

a_2/a_1=25/50=0.5

a_3/a_2=12.5/25=0.5

a_4/a_3=6.25/12.5=0.5

a_5/a_4=3.125/6.25=0.5

The ration (r) between every two adjacent members of the series is constant and equal to 0.5 thus:

a_6 =a_1×(^r6-1)  =a_1×r^5 =50×0.5^5 =1.5625

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

-14 is the answer

hope this : ))