closed as too broad by Marcus Müller, Stanley Pawlukiewicz, lennon310, Fat32, Matt L. Apr 9 at 10:22
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
- Look at the ratio between two adjacent samples
- Express the picture as a closed form time domain formula
- Calculate the DFT using it's mathematical definition or just look it up in a table
It's not entirely clear whether the sequence is supposed to continue or is supposed to end at the right edge of the picture. You need to ask whoever posed this problem.