Waldron
Ch Mrs. 8.1
Sequences Worksheet
HW: Pg. 441: 1-21 odd, 31-47 odd
BC Calculus
Given b1 and bn, find the first three terms and the seventh term for each
sequence.
1. b1 = 5, bn = bn-1 5 for all n 2
2. b1 = 2, bn = 2(bn-1 1) for all n 2
3. b1 = 11, bn = 2(bn-1 1) for all n 2
4. b1 = -4, bn = 3bn-1 for all n 2
For each geometric sequence, find a) the common ratio, b) the eighth term, c) a
recursive rule for the nth term, and d) an explicit rule the for nth term.
5. 1, 5, 25, 125,
6. 73, 77, 711, 715,
7. -3, 9, -27, 81,
8. 55-5, 55-15, 55-25, 55-35,
Determine whether the given sequence converges or diverges. If it
converges, find its limit.
9. a n =
-5n + 7
-7 n
10. a n =
-3n 2 + 3
2n 2 + 10n + 4
11. a n =
n-7
-11 n
Use the Sandwich Theorem to show that the sequence converges and then find
its limit.
n!
12.
(2n)!
1
13. 3n sin
n
1
14. n - n cos
n
cos 4n
15.
ln n