Application of Regression in real-life problems. Geometric Sequences in REAL Life -- Examples and Applications. Shells are probably the most famous example of the sequence because the lines are very clean and clear to see. If you're seeing this message, it means we're having trouble loading external resources on our website. This resources gives examples of where the nth term can be used in a real life context. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. REAL LIFE PROBLEMS INVOLVING ARITHMETIC SERIES. With the holiday season upon us (finally! Everyone's personal style along with other things has suffered total blows this year. Flowers of all kinds follow the pattern, but roses are my favorite kind to use as an example of the Fibonacci Sequence. 1, 2, 3, ..............................12. Many people have probably learned about Fibonacci in their high school math classes. In this case, since we will be adding terms in a geometric sequence, we will be finding a geometric series. This sequence is an arithmetic progression. First let us find the interest using simple interest formula.