Answer:
31.25
Step-by-step explanation:
Firstly, we need to identify the pattern.
Pattern: every next number is obtained by dividing the previous number by 2.
1st number = 1000
2nd number = 1000/2 = 500
3rd number = 500/2 = 250
4th number = 250/2 = 125
5th number = 125/2 = 62.5
6th number = 62.5/ 2 = 31.25.
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It can be also solved using concept of geometric progression
In GP
any nth number is given by = [tex]ar^(n-1)[/tex]
where a is first number
r is the common ratio for the gp
r common ratio is calculated by = nth/(n-1)th
here r = 500/1000 = 1/2
a = 1000
next term which we need to find is 6th terms
Thus, 6th terms = [tex]1000*(1/2)^(6-1)[/tex]
[tex]=1000/2^5[/tex]
=1000/32 = 31.25
