UP TGT Mathematics Real Analysis Test Series - Part 1
The geometric sequence a_n = r^n oscillates finitely if:
Type: MCQ • Marks: 1
The geometric sequence a_n = r^n oscillates finitely if:
Options
A. r < -1
B. r = -1
C. r > 1
D. r = 1
Explanation
Correct Answer: Option 2 (r = -1). A sequence converges if it approaches a unique finite limit L. Otherwise, it diverges (tends to infinity or oscillates). Every subsequence of a convergent sequence converges to the same limit.
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