Answer:
Step-by-step explanation:
Suppose that 10 < n < 11. A possible value for n is
1 answer:
★ Inequalities ★
or n ∈ ( 10 , 11 )
Possible value can be easily obtained by generating an arithmetic mean
Else we've infinite numbers between them ,
According to density property of real numbers , we can have any real number satisfying the given inequality under condition 10 < n < 11
Which is true for infinite possible numbers
10.1 , 10.2 , ... INFINITY
or n ∈ ( 10 , 11 )
Possible value can be easily obtained by generating an arithmetic mean
Else we've infinite numbers between them ,
According to density property of real numbers , we can have any real number satisfying the given inequality under condition 10 < n < 11
Which is true for infinite possible numbers
10.1 , 10.2 , ... INFINITY
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By the ratio test, the series converges if
Solving for gives the interval of convergence,
We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.