REVIEW GAME Review of Sequences and Series
QUESTION 1
Find the explicit and recursive formulas for the sequence:
-4, 1, 6, 11, 16, ….
QUESTION 1
Find the explicit and recursive formulas for the sequence:
-4, 1, 6, 11, 16, ….
QUESTION 2
Find the explicit and recursive formulas for the following sequence:
2, 1, ½, ¼, 1/8,….
QUESTION 2
Find the explicit and recursive formulas for the following sequence:
2, 1, ½, ¼, 1/8,….
QUESTION 3
Find of the following sequence: 3, -1, -5, -9, -13,….
a22
QUESTION 3
Find of the following sequence: 3, -1, -5, -9, -13,….
a22
QUESTION 4
Find of the sequence: 3, -1, -5, -9, -13,….
S22
QUESTION 4
Find of the sequence: 3, -1, -5, -9, -13,….
S22
QUESTION 5
Find of the following sequence: 3, 12, 48, 192,….
a11
QUESTION 5
Find of the following sequence: 3, 12, 48, 192,….
a11
QUESTION 6
Find of the sequence: 3, 12, 48, 192,….
S11
QUESTION 6
Find of the sequence: 3, 12, 48, 192,….
S11
QUESTION 7
What does n equal when = 4? 120, 116, 112, 108,…., 4
na
QUESTION 7
What does n equal when = 4? 120, 116, 112, 108,…., 4
na
QUESTION 8
The 6th and 9th terms of an arithmetic sequence are 10 and 28, respectively. Find the explicit formula for the sequence.
QUESTION 8
The 6th and 9th terms of an arithmetic sequence are 10 and 28, respectively. Find the explicit formula for the sequence.
QUESTION 9
The 4th and 7th terms of a geometric sequence are 4 and 32, respectively. Find the explicit formula for the sequence.
QUESTION 9
The 4th and 7th terms of a geometric sequence are 4 and 32, respectively. Find the explicit formula for the sequence.
QUESTION 10
Does the sequence converge or diverge?
n
na
11
32
QUESTION 10
Does the sequence converge or diverge?
n
na
11
32
QUESTION 11
Write the series in summation notation: 4 + -8 + 16 + -32 + ….. + 1024
QUESTION 11
Write the series in summation notation: 4 + -8 + 16 + -32 + ….. + 1024
QUESTION 12
4 + 2 + 1 + ½ + …… Find S
QUESTION 12
4 + 2 + 1 + ½ + …… Find S
QUESTION 13
Find the sum:
k
k
24
1
4 8
QUESTION 13
Find the sum:
k
k
24
1
4 8
QUESTION 14
Find the sum:
k
k
10
1
1
6 2
QUESTION 14
Find the sum:
k
k
10
1
1
6 2