Deck 13: Appendix B: Special Topics

Question 1

Write the first four terms of the sequence

Answer 1

1, 34, 3, 68

Question 2

Find the 67th term of the sequence defined by

Answer 2

Question 3

Find the first five terms of the sequence defined by the recursive formula

Answer 3

2, 7, 27, 107, 427

Question 4

Find the general term of a sequence whose first four terms are

Question 5

Write without summation notation. Do not evaluate.

Question 6

Write the following sum using summation notation:

Question 7

Write the alternating series using summation notation with the summing index k starting at

Question 8

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:
-9, 3, -3, . . .

Question 9

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:
-2, 6, 10, . . .

Question 10

Indicate by letter which of the following sequences can be the first three terms of an arithmetic sequence and state the common difference for those that are:

-5, 8, 12, . . .

Question 11

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:
-1, -4, 16, . . .

Question 12

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:
-

Question 13

Indicate by letter which of the following sequences can be the first three terms of a geometric sequence and state the common ratio for those that are:

-1, -8, -64, . . .

Question 14

Find the sum of the first 25 terms of the geometric sequence

Question 15

Find the sum of the infinite geometric sequence (if it exists):

Question 16

Find the sum of the infinite geometric sequence (if it exists):

Question 17

Evaluate:

Question 18

Evaluate:

Question 19

Expand:

Question 20

Find the sixth term in the expansion of