1) The following questions with sequences will have some relation with the coming sections (11.2 to 11.6): a) Determine if the sequence converges to 0 or not: Зп + 1 In -), bn = cos(nn) dn An sin Cn =...

week 4 2 of 4

Extracted text: 1) The following questions with sequences will have some relation with the coming sections (11.2 to 11.6): a) Determine if the sequence converges to 0 or not: Зп + 1 In -), bn = cos(nn) dn An sin Cn = n· sin n2 5" b) For the following geometric sequence, what are the ratio r? an = 3"+1·7", br (-2)2n+1 c) Verify that the sequence is decreasing: an = ne -n d) Please compare the following pairs to see which one is greater: 4" 4" 4" 4" 3" + 5" VS 5" + 5" 3" + 5" VS 3" + 3" e) Please list the first 5 terms of the following sequences (begin with n = 1): 2.5· 8 . bn 3.5-7..... (2n + 1) Зп — 1 . Зп — 1 An 2n + 1 ||