# Test for Trend , Cycle and Seasonality

Can someone teach me on how to find the trend and cycle of my series and also the seasonality of my series to check if I will use SARIMA instead of arima?

We are not satisfied with just graphs to show it that's why I also want the test or some statistical idea you use to explain it.

The auto.arima() function in the forecast package for R, which I personally consider the gold standard in automatic ARIMA modeling, uses the OCSB test. See here for the reference and further information.