In the late 19th century the words crack and jack were paired. Cracker was an adjective meaning an expert or superior that dates from the 18th century. Prior to that crack was a noun meaning something superior and a verb to boast. Jack has been used for man since the 1500's as a noun then as an adjective. The snack crackerjack popcorn dates from 1890. So, if put together crackerjack means an expert/superior man.
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The term "Cracker Jack" originated in the late 19th century in the United States. It was used to describe a type of snack made of caramel-coated popcorn and peanuts. The name "Cracker Jack" was trademarked in 1896 and later became associated with the popular brand of snack food that is still sold today.
It all depends where one wants to start. There is no first term, there is no last term. There just is.
Trigonometry and tessellations both start with a t.
If the sequence is taken to start 1,1,2,... then the 100th term is 354,224,848,179,261,915,075 And you've got to hope I have typed that in correctly!
You start with the number 4, then multiply with the "common ratio" to get the next term. That, in turn, is multiplied by the common ratio to get the next term, etc.
Lots of shapes. To start with, an irregular blob (that is a technical term)!