MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
The n th term of a sequence is an=5n21−n.
(i) Prove that the sequence forms a geometric progression and find its common ratio.
(ii) Write the first four terms explicitly.
(iii) Find the 12th term of the progression.
(iv) Determine the term that immediately precedes the given sequence (the 0th term).