Consider a geometric progression whose first term is and common ratio is
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Consider a geometric progression whose first term is 7 and common ratio is −2.
(i) Show that the signs of its successive terms alternate.
(ii) Determine the smallest positive integer n such that the nth term equals −896.
(iii) Verify your result in part (ii) by computing the exact value of the nth term you have found.