MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Consider the sequence 1681,−827,49,−23,…
(i) Decide whether this sequence is an arithmetic progression, a geometric progression or neither.
(ii) For the appropriate classification, determine the common difference or common ratio.
(iii) Find the 10th term of the sequence.
(iv) Evaluate the sum to infinity, stating the condition that justifies your answer.