I know now how to find any term in a sequence, and I know how to create the formulas to be able to find this, however I really do not understand very well how to prove a sequence. If it is definite, and the amount of numbers is small, it is easy because you just do them all, but what if there are infinite numbers? When do I have to write the definition down? I want to understand that before we get too far ahead.
Ex. 3, 11, 19, 27, 35, 43...
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I have your same problem. I do now how with finite numbers but when I am given a sequence qith infinite numbers, how can I prove it is a arithmetic or geometric sequence? Do I need the definition for my answer or statement to be correct?
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