2011-04-06, 11:43 PM
For #1, I think you mistook it for a series instead of a sequence? I'm still on sequences. Before I started finding the limits, I tried to find a[SIZE="1"]1[/SIZE], a[SIZE="1"]2[/SIZE], a[SIZE="1"]3[/SIZE], etc.
a[SIZE="1"]1[/SIZE] = 1/1 = 1
a[SIZE="1"]2[/SIZE] = 1/4 + 2/4 = 3/4
a[SIZE="1"]3[/SIZE] = 1/9 + 2/9 + 3/9 = 2/3
a[SIZE="1"]4[/SIZE] = 1/16 + 2/16 + 3/16 + 4/16 = 5/8
so the sequence converging to 1/2 would make sense.
For #2, I haven't learned those tests yet but I'll keep that in mind. Thanks.
a[SIZE="1"]1[/SIZE] = 1/1 = 1
a[SIZE="1"]2[/SIZE] = 1/4 + 2/4 = 3/4
a[SIZE="1"]3[/SIZE] = 1/9 + 2/9 + 3/9 = 2/3
a[SIZE="1"]4[/SIZE] = 1/16 + 2/16 + 3/16 + 4/16 = 5/8
so the sequence converging to 1/2 would make sense.
For #2, I haven't learned those tests yet but I'll keep that in mind. Thanks.