Question

The sequence 1, 3, 5, 7, 9, ..., is monotone

a) Decreasing
b) increasing
c) constant
d) oscillating​

Answer 1

increasing, 3 is bigger then 1 and 5 is bigger then 3 and so on

Answer 2

Answer: b) increasing

Step-by-step explanation: It seems evident that the sequence is made up of all the odd numbers.

`\begin{gathered} \bold{a_1=1}\\ \bold{a_2=3=a_1+2}\\ \bold{a_3=5=a_2+2}\\ \bold{a_4=7=a_3+2} \\ \bold{a_n=a_(n- 1)+2}\end{gathered}`

As we can see, in the nth position (any position), we take the value of the previous position and add 2 to it. This leads us to conclude that the sequence is monotonic increasing since as we add 2 to the values, these grow up.