More Complicated Sequence

Algebra Level 1

There are several forms of sequence, we have arithmetic, geometric, harmonic, and Fibonacci. What if the given sequence is not classified in the said forms of sequence? So, can I introduce this special type of sequence. This is called complex sequence. Complex sequences are sequences or progressions whose differences or ratios are forming either arithmetic or geometric.

So let's solve this problem:

You are given this sequence: 3, 8, 18, 33, 53,........

The question is what is the tenth term of the given sequence?

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