Sequences and Bounds

𝑎𝑛=2𝑛+1 = A sequence with a general term 𝑠𝑢𝑝𝑎𝑛 = The smallest upper bound of a sequence 𝑖𝑛𝑓𝑎𝑛 = The largest lower bound of a sequence majorée = A term referring to a sequence that has an upper limit

𝑎𝑛=2𝑛+1 = Bounded below but not above 𝑏𝑛=−3𝑛+2 = Bounded above but not below −1𝑛𝑛=0∞ = Has a smallest upper bound of 1 and largest lower bound of -1 1/𝑛𝑛=1∞ = Has a smallest upper bound of 1 and largest lower bound of 0

−1𝑛𝑛=0∞ = 1 1/𝑛𝑛=1∞ = 1 𝑛𝑛=0∞ = +∞ 𝑎𝑛=2𝑛+1 = Not specifically given

<p>−1𝑛𝑛=0∞ = -1 1/𝑛𝑛=1∞ = 0 𝑛𝑛=0∞ = 0 𝑏𝑛=−3𝑛+2 = Not specifically given</p> Signup and view all the answers

<p>𝑎𝑛 = 2𝑛+1 𝑏𝑛 = −3𝑛+2 −1𝑛𝑛=0∞ = Not specifically given 1/𝑛𝑛=1∞ = Not specifically given</p> Signup and view all the answers