How determine whether a sequence is increasing

[mimie]

How determine whether a sequence is increasing as n increases without apply differentiation to explicit formula of the sequence?
Thanks.

 

[Harry_the_cat]

Perhaps show that \(\displaystyle t_{n+1} - t_{n}\) is always positive.

Can you show the question you have?

 

[mimie]

Perhaps show that \(\displaystyle t_{n+1} - t_{n}\) is always positive.

Can you show the question you have?

Given explicit formula of a sequence, a_n=14n-16 , determine whether it is increasing as n increases.

 

[Harry_the_cat]

Given explicit formula of a sequence, a_n=14n-16 , determine whether it is increasing as n increases.

Yeah exactly what I said before.

 

[Dr.Peterson]

If you graphed the equation y = 14x - 16, would it be increasing or decreasing? What is the slope of this line?

 

[pka]

Given explicit formula of a sequence, a_n=14n-16 , determine whether it is increasing as n increases.

If it is a linear function with a positive slope it is increasing.