Sequences of real numbers
General · Mathematics
Study notes
Q: Write first 5 terms of aₙ = n/(n+1). Bounded? Monotone? 1/2, 2/3, 3/4, 4/5, 5/6. Bounded: 0 < aₙ < 1 ✓. Increasing: n/(n+1) < (n+1)/(n+2)? Cross: n(n+2) < (n+1)² = n²+2n+1: n²+2n < n²+2n+1 ✓! (Increases to 1!)