arethematic sequence of power 2
Answers
Step-by-step explanation:
The sequence become 0, a, 2a, 3a, …
Important point to note here is that all the non-negative integer multiples of a are appearing in the sequence.
A typical term is a multiple of a ( ka ). nth power of that term of knan. This number can be written as multiple of a (it is (knan−1)×a ). This means that it appears as term number (knan−1)+1 . So, the powers of all the terms appear in the sequence. For power n=0, kn gets evaluated to 1 and an−1 gets evaluated to fractional number (if a>1 ).
Everything holds good if we drop first term and start sequence with a rather than 0 (except for term numbers decrease by 1).
I did not understand What is its introduction? part of the question. If it means writing initial terms then it is
[0,] 1, 1, 1, 1, …
[0], 2, 4, 6, 8, …
[0], 5, 10, 15, 20, ….
[0] term can either be kept or dropped. Both the options are good.