Answer:
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
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